{"id":439,"date":"2022-04-13T05:12:03","date_gmt":"2022-04-13T05:12:03","guid":{"rendered":"http:\/\/8thclass.deltapublications.in\/?page_id=439"},"modified":"2025-08-19T18:14:24","modified_gmt":"2025-08-19T18:14:24","slug":"w-1-which-x-satisfies-an-equation","status":"publish","type":"page","link":"https:\/\/8thclass.deltapublications.in\/index.php\/w-1-which-x-satisfies-an-equation\/","title":{"rendered":"W.1 Which x satisfies an equation?"},"content":{"rendered":"\n<h2 class=\"wp-block-heading has-text-align-center has-text-color\" style=\"color:#00056d;text-transform:uppercase\"><strong>Which x satisfies an equation?<\/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\/DAGwHTA-hiI\/K13hkfzIQj4gknRp1hSDig\/watch?embed\" allowfullscreen=\"allowfullscreen\" allow=\"fullscreen\">\n  <\/iframe>\n<\/div>\n<a href=\"https:&#x2F;&#x2F;www.canva.com&#x2F;design&#x2F;DAGwHTA-hiI&#x2F;K13hkfzIQj4gknRp1hSDig&#x2F;watch?utm_content=DAGwHTA-hiI&amp;utm_campaign=designshare&amp;utm_medium=embeds&amp;utm_source=link\" target=\"_blank\" rel=\"noopener\">Class-8 Topic: Which X satisfies an equation<\/a> by Delta publications\n<\/div>\n<\/div>\n\n\n\n<p class=\"has-text-color has-link-color has-huge-font-size wp-elements-28d136ae4331e7eb05ec8e1cb71ebcde\" style=\"color:#74008b\">key notes :<\/p>\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 It Mean?<\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p>When we are asked <strong>&#8220;Which x satisfies an equation?&#8221;<\/strong>, it means:<\/p>\n\n\n\n<p>Find the value of <strong>x<\/strong> that makes the equation true.<\/p>\n\n\n\n<p>For example:<br>If the equation is <strong>2x + 5 = 15<\/strong>, we need to find the value of <strong>x<\/strong> that makes both sides equal.<\/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>Steps to Find the Satisfying x<\/strong><\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p><strong>Understand the equation<\/strong> \u2013 Identify what is given.<\/p>\n\n\n\n<p><strong>solate the variable (x)<\/strong> \u2013 Use inverse operations (opposite operations) to move numbers away from x.<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Addition \u2194 Subtraction<\/li>\n\n\n\n<li>Multiplication \u2194 Division<\/li>\n<\/ul>\n\n\n\n<p><strong>Solve step-by-step<\/strong> \u2013 Perform the same operation on both sides of the equation.<\/p>\n\n\n\n<p><strong>Check your answer<\/strong> \u2013 Substitute the value back into the original equation to confirm.<\/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>Examples<\/strong><\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p><strong>Example 1<\/strong><br>Equation: <strong>x + 7 = 12<\/strong><br>Step 1: Subtract 7 from both sides \u2192 <strong>x = 5<\/strong><br>Step 2: Check: <strong>5 + 7 = 12<\/strong> \u2705<\/p>\n\n\n\n<p><strong>Example 2<\/strong><br>Equation: <strong>3x = 18<\/strong><br>Step 1: Divide both sides by 3 \u2192 <strong>x = 6<\/strong><br>Step 2: Check: <strong>3 \u00d7 6 = 18<\/strong> \u2705<\/p>\n\n\n\n<p><strong>Example 3<\/strong><br>Equation: <strong>2x \u2013 4 = 10<\/strong><br>Step 1: Add 4 to both sides \u2192 <strong>2x = 14<\/strong><br>Step 2: Divide by 2 \u2192 <strong>x = 7<\/strong><br>Step 3: Check: <strong>2 \u00d7 7 \u2013 4 = 14 \u2013 4 = 10<\/strong> \u2705<\/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>Tips to Remember<\/strong><\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Always do <strong>the same operation<\/strong> on both sides of the equation.<\/li>\n\n\n\n<li>Be careful with <strong>negative numbers<\/strong>.<\/li>\n\n\n\n<li>If you get <strong>x = 0<\/strong>, it can still be correct.<\/li>\n\n\n\n<li><strong>Checking your solution<\/strong> avoids silly mistakes.<\/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>Find the value of <strong>x<\/strong> that satisfies each equation:<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>x \u2013 9 = 3<\/strong><\/li>\n\n\n\n<li><strong>5x = 35<\/strong><\/li>\n\n\n\n<li><strong>2x + 6 = 14<\/strong><\/li>\n\n\n\n<li><strong>4x \u2013 10 = 6<\/strong><\/li>\n\n\n\n<li><strong>x\/5 = 8<\/strong><\/li>\n<\/ol>\n\n\n\n<p class=\"has-normal-font-size\">A&nbsp;<strong>solution<\/strong>&nbsp;to an equation is a value of a variable that makes the equation&nbsp;true.<\/p>\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:#a1aaed\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<div class=\"wp-block-group has-background-background-color has-background\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<p class=\"has-text-color has-link-color wp-elements-e4696eeb088a92b9be4b65cc5e96eed6\" style=\"color:#b00012\"><strong>What&nbsp;value of&nbsp;p&nbsp;is a solution to this&nbsp;equation?<\/strong><\/p>\n\n\n\n<p class=\"has-text-color has-link-color wp-elements-b548c0825b5d61ba0eec1870f98fd89b\" style=\"color:#b00012\">p+10=17<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>p=6<\/li>\n\n\n\n<li>p=7<\/li>\n<\/ul>\n<\/div><\/div>\n\n\n\n<p>To&nbsp;find the solution, substitute each value of&nbsp;p&nbsp;into the&nbsp;equation:<\/p>\n\n\n\n<p>p+10=17<\/p>\n\n\n\n<p>Substitute&nbsp;the value&nbsp;p=6&nbsp;into the&nbsp;equation.<\/p>\n\n\n\n<p>p+10=17<\/p>\n\n\n\n<p><strong>6<\/strong>+10=17<\/p>\n\n\n\n<p>16=17<\/p>\n\n\n\n<p>The&nbsp;value&nbsp;p=6&nbsp;makes this equation false. So,&nbsp;p=6&nbsp;is not a&nbsp;solution.<\/p>\n\n\n\n<p>Substitute&nbsp;the value&nbsp;p=7&nbsp;into the&nbsp;equation.<\/p>\n\n\n\n<p>p+10=17<\/p>\n\n\n\n<p><strong>7<\/strong>+10=17<\/p>\n\n\n\n<p>17=17<\/p>\n\n\n\n<p>The&nbsp;value&nbsp;p=7&nbsp;makes this equation true. So,&nbsp;p=7&nbsp;is the&nbsp;solution.<\/p>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-background has-normal-font-size\" style=\"background-color:#94dcc1\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<div class=\"wp-block-group has-background-background-color has-background\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<p class=\"has-text-color has-link-color wp-elements-68f42fb53f7787884cf229948046771d\" style=\"color:#b00012\"><strong>What&nbsp;value of&nbsp;a&nbsp;is a solution to this&nbsp;equation?<\/strong><\/p>\n\n\n\n<p class=\"has-text-color has-link-color wp-elements-66e5c2bd3a150cf45bd0c44aa12225e2\" style=\"color:#b00012\">4a=24<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>a=4<\/li>\n\n\n\n<li>a=6<\/li>\n<\/ul>\n<\/div><\/div>\n\n\n\n<p>To&nbsp;find the solution, substitute each value of&nbsp;a&nbsp;into the&nbsp;equation:<\/p>\n\n\n\n<p>4a=24<\/p>\n\n\n\n<p>Substitute&nbsp;the value&nbsp;a=4&nbsp;into the&nbsp;equation.<\/p>\n\n\n\n<p>4a=24<\/p>\n\n\n\n<p>4(<strong>4<\/strong>)=24<\/p>\n\n\n\n<p>16=24<\/p>\n\n\n\n<p>The&nbsp;value&nbsp;a=4&nbsp;makes this equation false. So,&nbsp;a=4&nbsp;is not a&nbsp;solution.<\/p>\n\n\n\n<p>Substitute&nbsp;the value&nbsp;a=6&nbsp;into the&nbsp;equation.<\/p>\n\n\n\n<p>4a=24<\/p>\n\n\n\n<p>4(<strong>6<\/strong>)=24<\/p>\n\n\n\n<p>24=24<\/p>\n\n\n\n<p>The&nbsp;value&nbsp;a=6&nbsp;makes this equation true. So,&nbsp;a=6&nbsp;is the&nbsp;solution.<\/p>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-background has-normal-font-size\" style=\"background-color:#9ac4f7\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<div class=\"wp-block-group has-background-background-color has-background\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<p class=\"has-text-color has-link-color wp-elements-0c2e21d485303ba301d3676b324e249a\" style=\"color:#b00012\"><strong>What&nbsp;value of&nbsp;b&nbsp;is a solution to this&nbsp;equation?<\/strong><\/p>\n\n\n\n<p class=\"has-text-color has-link-color wp-elements-3b11e2b46043645ef74f3aaf73acfac9\" style=\"color:#b00012\">7b=77<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>b=9<\/li>\n\n\n\n<li>b=11<\/li>\n<\/ul>\n<\/div><\/div>\n\n\n\n<p>o&nbsp;find the solution, substitute each value of&nbsp;b&nbsp;into the&nbsp;equation:<\/p>\n\n\n\n<p>7b=77<\/p>\n\n\n\n<p>Substitute&nbsp;the value&nbsp;b=9&nbsp;into the&nbsp;equation.<\/p>\n\n\n\n<p>7b=77<\/p>\n\n\n\n<p>7(<strong>9<\/strong>)=77<\/p>\n\n\n\n<p>63=77<\/p>\n\n\n\n<p>The&nbsp;value&nbsp;b=9&nbsp;makes this equation false. So,&nbsp;b=9&nbsp;is not a&nbsp;solution.<\/p>\n\n\n\n<p>Substitute&nbsp;the value&nbsp;b=11&nbsp;into the&nbsp;equation.<\/p>\n\n\n\n<p>7b=77<\/p>\n\n\n\n<p>7(<strong>11<\/strong>)=77<\/p>\n\n\n\n<p>77=77<\/p>\n\n\n\n<p>The&nbsp;value&nbsp;b=11&nbsp;makes this equation true. So,&nbsp;b=11&nbsp;is the&nbsp;solution.<\/p>\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\/95743\/518\/258\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-141.png\" alt=\"\" class=\"wp-image-8917\" srcset=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-141.png 500w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-141-300x300.png 300w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-141-150x150.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\/95743\/432\/297\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-145.png\" alt=\"\" class=\"wp-image-8918\" srcset=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-145.png 500w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-145-300x300.png 300w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-145-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/a><\/figure>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Which x satisfies an equation? Class-8 Topic: Which X satisfies an equation by Delta publications key notes : What Does It Mean? When we are asked &#8220;Which x satisfies an equation?&#8221;, it means: Find the value of x that makes the equation true. For example:If the equation is 2x + 5 = 15, we need<a class=\"more-link\" href=\"https:\/\/8thclass.deltapublications.in\/index.php\/w-1-which-x-satisfies-an-equation\/\">Continue reading <span class=\"screen-reader-text\">&#8220;W.1 Which x satisfies an equation?&#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-439","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\/439","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=439"}],"version-history":[{"count":20,"href":"https:\/\/8thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/439\/revisions"}],"predecessor-version":[{"id":21247,"href":"https:\/\/8thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/439\/revisions\/21247"}],"wp:attachment":[{"href":"https:\/\/8thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/media?parent=439"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}