{"id":459,"date":"2022-04-13T05:15:33","date_gmt":"2022-04-13T05:15:33","guid":{"rendered":"http:\/\/8thclass.deltapublications.in\/?page_id=459"},"modified":"2025-08-19T18:28:54","modified_gmt":"2025-08-19T18:28:54","slug":"w-10-solve-equations-complete-the-solution-2","status":"publish","type":"page","link":"https:\/\/8thclass.deltapublications.in\/index.php\/w-10-solve-equations-complete-the-solution-2\/","title":{"rendered":"W.10 Solve equations: complete the solution"},"content":{"rendered":"\n<h2 class=\"wp-block-heading has-text-align-center has-text-color\" style=\"color:#00056d;text-transform:uppercase\"><strong>Solve equations: complete the solution<\/strong><\/h2>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-9d6595d7 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:100%\">\n<div style=\"position: relative; width: 100%; height: 0; padding-top: 56.2500%;\n padding-bottom: 0; box-shadow: 0 2px 8px 0 rgba(63,69,81,0.16); margin-top: 1.6em; margin-bottom: 0.9em; overflow: hidden;\n border-radius: 8px; will-change: transform;\">\n  <iframe loading=\"lazy\" style=\"position: absolute; width: 100%; height: 100%; top: 0; left: 0; border: none; padding: 0;margin: 0;\"\n    src=\"https:\/\/www.canva.com\/design\/DAGwajZ29W4\/Ou_15VFNxz040bvVwrkOPg\/watch?embed\" allowfullscreen=\"allowfullscreen\" allow=\"fullscreen\">\n  <\/iframe>\n<\/div>\n<a href=\"https:&#x2F;&#x2F;www.canva.com&#x2F;design&#x2F;DAGwajZ29W4&#x2F;Ou_15VFNxz040bvVwrkOPg&#x2F;watch?utm_content=DAGwajZ29W4&amp;utm_campaign=designshare&amp;utm_medium=embeds&amp;utm_source=link\" target=\"_blank\" rel=\"noopener\">Class 8: Topic: Solving Equations: Completing the solutions<\/a> by Delta publications\n<\/div>\n<\/div>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-text-color has-link-color has-fixed-layout\" style=\"color:#000060\"><tbody><tr><td><strong>What Does &#8220;Complete the Solution&#8221; Mean?<\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p>Sometimes an equation is partially solved or has missing steps.<\/p>\n\n\n\n<p>&#8220;Complete the solution&#8221; means:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Continue solving<\/strong> from where it is left off.<\/li>\n\n\n\n<li><strong>Write all steps<\/strong> clearly until you find the value of the variable.<\/li>\n\n\n\n<li><strong>Check<\/strong> the solution by substituting back into the original equation.<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-text-color has-link-color has-fixed-layout\" style=\"color:#000060\"><tbody><tr><td><strong><strong>Key Steps<\/strong><\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Identify the current step<\/strong> given in the question.<\/li>\n\n\n\n<li><strong>Use inverse operations<\/strong> to isolate the variable.<\/li>\n\n\n\n<li><strong>Perform operations on both sides<\/strong> (maintain the balance).<\/li>\n\n\n\n<li><strong>Simplify<\/strong> each step.<\/li>\n\n\n\n<li><strong>Write the final answer<\/strong> for the variable.<\/li>\n\n\n\n<li><strong>Verify<\/strong> by substituting into the original equation.<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-text-color has-link-color has-fixed-layout\" style=\"color:#000060\"><tbody><tr><td><strong><strong>Example Problems<\/strong><\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<h4 class=\"wp-block-heading\"><strong>Example 1<\/strong><\/h4>\n\n\n\n<p>Equation: 3x+4=13<br>Given Step: 3x=9<\/p>\n\n\n\n<p><strong>Complete the Solution:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Divide both sides by 3:<br>x=9\/3<\/li>\n\n\n\n<li>Simplify:<br>x=3<\/li>\n<\/ul>\n\n\n\n<p>\u2705 <strong>Final Answer:<\/strong> x=3<br>\ud83d\udd0d <strong>Check:<\/strong> 3(3)+4=13 \u2714<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h4 class=\"wp-block-heading\"><strong>Example 2<\/strong><\/h4>\n\n\n\n<p>Equation: 5x\u22127=18<br>Given Step: 5x=25<\/p>\n\n\n\n<p><strong>Complete the Solution:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Divide both sides by 5:<br>x=25\/5<\/li>\n\n\n\n<li>Simplify:<br>x=5<\/li>\n<\/ul>\n\n\n\n<p>\u2705 <strong>Final Answer:<\/strong> x=5<br>\ud83d\udd0d <strong>Check:<\/strong> 5(5)\u22127=18 \u2714<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h4 class=\"wp-block-heading\"><strong>Example 3<\/strong><\/h4>\n\n\n\n<p>Equation: 2(x+4)=20<br>Given Step: x+4=10<\/p>\n\n\n\n<p><strong>Complete the Solution:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Subtract 4 from both sides:<br>x=6<\/li>\n<\/ul>\n\n\n\n<p>\u2705 <strong>Final Answer:<\/strong> x=6<br>\ud83d\udd0d <strong>Check:<\/strong> 2(6+4)=20\u2714<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-text-color has-link-color has-fixed-layout\" style=\"color:#000060\"><tbody><tr><td><strong><strong>Common Mistakes to Avoid<\/strong><\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Forgetting to <strong>do the same operation on both sides<\/strong>.<\/li>\n\n\n\n<li>Stopping before reaching the variable alone.<\/li>\n\n\n\n<li>Not <strong>checking<\/strong> the answer in the original equation.<\/li>\n\n\n\n<li>Ignoring negative signs.<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-text-color has-link-color has-fixed-layout\" style=\"color:#000060\"><tbody><tr><td><strong><strong> Practice Problems<\/strong><\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p>Complete the solutions for the following equations:<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>4x+5=21<br>Given Step: 4x=16<\/li>\n\n\n\n<li>7x\u22129=26<br>Given Step: 7x=35<\/li>\n\n\n\n<li>3(x\u22122)=15<br>Given Step: x\u22122=5<\/li>\n\n\n\n<li>9x+12=30<br>Given Step: 9x=18<\/li>\n\n\n\n<li>6x\u22124=14<br>Given Step: 6x=18<\/li>\n<\/ol>\n\n\n\n<p class=\"has-text-align-center has-text-color has-large-font-size\" style=\"color:#105000\"><strong>Learn with an example<\/strong><\/p>\n\n\n\n<div class=\"wp-block-group has-background has-normal-font-size\" style=\"background-color:#abe4bd\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<p class=\"has-text-color has-link-color wp-elements-5e5a291aad88855ab9dd6afd7a25c40e\" style=\"color:#b00012\"><strong>Complete&nbsp;the process of solving the&nbsp;equation.<\/strong><\/p>\n\n\n\n<p class=\"has-text-color has-link-color wp-elements-49b2e201be9b051e0a501c7acc272d51\" style=\"color:#b00012\"><em>Fill<\/em><em>&nbsp;in the missing term on each line. Simplify any&nbsp;<\/em><em>fractions.<\/em><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"670\" height=\"200\" src=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/11\/Untitled-design-12-1-removebg-preview.png\" alt=\"\" class=\"wp-image-13197\" srcset=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/11\/Untitled-design-12-1-removebg-preview.png 670w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/11\/Untitled-design-12-1-removebg-preview-300x90.png 300w\" sizes=\"auto, (max-width: 670px) 100vw, 670px\" \/><\/figure>\n\n\n\n<div class=\"wp-block-group has-background-background-color has-background\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<p class=\"has-text-color has-large-font-size\" style=\"color:#b60e0e\"><strong>solution:<\/strong><\/p>\n\n\n\n<p>To&nbsp;complete the process of solving the equation, understand what changes from one line to the&nbsp;next.<\/p>\n\n\n\n<p>Start&nbsp;at the top with the first and second&nbsp;lines.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"670\" height=\"300\" src=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/06\/Untitled-design-4-4.png\" alt=\"\" class=\"wp-image-10456\" srcset=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/06\/Untitled-design-4-4.png 670w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/06\/Untitled-design-4-4-300x134.png 300w\" sizes=\"auto, (max-width: 670px) 100vw, 670px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"670\" height=\"300\" src=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/06\/Untitled-design-5-2.png\" alt=\"\" class=\"wp-image-10457\" srcset=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/06\/Untitled-design-5-2.png 670w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/06\/Untitled-design-5-2-300x134.png 300w\" sizes=\"auto, (max-width: 670px) 100vw, 670px\" \/><\/figure>\n<\/div><\/div>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-background has-normal-font-size\" style=\"background-color:#d5c6eb\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<p class=\"has-text-color has-link-color wp-elements-5e5a291aad88855ab9dd6afd7a25c40e\" style=\"color:#b00012\"><strong>Complete&nbsp;the process of solving the&nbsp;equation.<\/strong><\/p>\n\n\n\n<p class=\"has-text-color has-link-color wp-elements-9b2e834fda99c717a86f2c621a61275b\" style=\"color:#b00012\"><em>Fill&nbsp;in the missing term on each line. Simplify any&nbsp;fractions.<\/em><\/p>\n\n\n\n<figure class=\"wp-block-image size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"670\" height=\"200\" src=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/11\/Untitled_design-removebg-preview.png\" alt=\"\" class=\"wp-image-13201\" style=\"aspect-ratio:2.2393822393822393;width:524px;height:auto\" srcset=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/11\/Untitled_design-removebg-preview.png 670w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/11\/Untitled_design-removebg-preview-300x90.png 300w\" sizes=\"auto, (max-width: 670px) 100vw, 670px\" \/><\/figure>\n\n\n\n<div class=\"wp-block-group has-background-background-color has-background\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<p class=\"has-text-color has-huge-font-size\" style=\"color:#ac2a2a\"><strong>solution:<\/strong><\/p>\n\n\n\n<p>To&nbsp;complete the process of solving the equation, understand what changes from one line to the&nbsp;next.<\/p>\n\n\n\n<p>Start&nbsp;at the top with the first and second&nbsp;lines.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"670\" height=\"300\" src=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/06\/Untitled-design-13.png\" alt=\"\" class=\"wp-image-10462\" style=\"width:516px;height:auto\" srcset=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/06\/Untitled-design-13.png 670w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/06\/Untitled-design-13-300x134.png 300w\" sizes=\"auto, (max-width: 670px) 100vw, 670px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"670\" height=\"300\" src=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/06\/Untitled-design-1-8.png\" alt=\"\" class=\"wp-image-10463\" style=\"width:529px;height:auto\" srcset=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/06\/Untitled-design-1-8.png 670w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/06\/Untitled-design-1-8-300x134.png 300w\" sizes=\"auto, (max-width: 670px) 100vw, 670px\" \/><\/figure>\n<\/div><\/div>\n<\/div><\/div>\n\n\n\n<p class=\"has-text-color has-large-font-size\" style=\"color:#d90000\">let&#8217;s practice!<\/p>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-9d6595d7 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<figure class=\"wp-block-image size-full\"><a href=\"https:\/\/wordwall.net\/play\/95850\/410\/410\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-146.png\" alt=\"\" class=\"wp-image-8934\" srcset=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-146.png 500w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-146-300x300.png 300w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-146-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/a><\/figure>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<figure class=\"wp-block-image size-full\"><a href=\"https:\/\/wordwall.net\/play\/95849\/946\/736\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-150.png\" alt=\"\" class=\"wp-image-8935\" srcset=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-150.png 500w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-150-300x300.png 300w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-150-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/a><\/figure>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Solve equations: complete the solution Class 8: Topic: Solving Equations: Completing the solutions by Delta publications What Does &#8220;Complete the Solution&#8221; Mean? Sometimes an equation is partially solved or has missing steps. &#8220;Complete the solution&#8221; means: Key Steps Example Problems Example 1 Equation: 3x+4=13Given Step: 3x=9 Complete the Solution: \u2705 Final Answer: x=3\ud83d\udd0d Check: 3(3)+4=13<a class=\"more-link\" href=\"https:\/\/8thclass.deltapublications.in\/index.php\/w-10-solve-equations-complete-the-solution-2\/\">Continue reading <span class=\"screen-reader-text\">&#8220;W.10 Solve equations: complete the solution&#8221;<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"om_disable_all_campaigns":false,"_monsterinsights_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"footnotes":""},"class_list":["post-459","page","type-page","status-publish","hentry","entry"],"aioseo_notices":[],"_hostinger_reach_plugin_has_subscription_block":false,"_hostinger_reach_plugin_is_elementor":false,"_links":{"self":[{"href":"https:\/\/8thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/459","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/8thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/8thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/8thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/8thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/comments?post=459"}],"version-history":[{"count":20,"href":"https:\/\/8thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/459\/revisions"}],"predecessor-version":[{"id":21257,"href":"https:\/\/8thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/459\/revisions\/21257"}],"wp:attachment":[{"href":"https:\/\/8thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/media?parent=459"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}