{"id":238,"date":"2022-04-13T08:48:02","date_gmt":"2022-04-13T08:48:02","guid":{"rendered":"http:\/\/9thclass.deltapublications.in\/?page_id=238"},"modified":"2025-04-08T18:00:48","modified_gmt":"2025-04-08T18:00:48","slug":"n-6-solve-equations-with-variables-on-both-sides","status":"publish","type":"page","link":"https:\/\/9thclass.deltapublications.in\/index.php\/n-6-solve-equations-with-variables-on-both-sides\/","title":{"rendered":"N.6 Solve equations with variables on both sides"},"content":{"rendered":"\n<h2 class=\"wp-block-heading has-text-align-center has-text-color\" style=\"color:#00056d;text-transform:uppercase\"><strong> Solve equations with variables on both sides<\/strong><\/h2>\n\n\n\n<p class=\"has-text-color has-huge-font-size\" style=\"color:#74008b\">Key Notes :<\/p>\n\n\n\n<p class=\"has-large-font-size\">To solve for a variable, use inverse operations to undo the operations in the equation. Be sure to gather like terms and to do the same operation to both sides of the equation.<\/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-large-font-size\" style=\"background-color:#abeeab\"><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\" style=\"color:#b00012\"><strong>Solve for&nbsp;<em>w<\/em>.<\/strong><\/p>\n\n\n\n<p>-8 + 5<em>w<\/em>&nbsp;= 3<em>w<\/em><\/p>\n\n\n\n<p><em>w<\/em>&nbsp;=&nbsp;_______<\/p>\n<\/div><\/div>\n\n\n\n<p>Solve for&nbsp;<em><em>w<\/em><\/em>.<\/p>\n\n\n\n<p>\u2013 8 + 5w&nbsp;=&nbsp;3w <\/p>\n\n\n\n<p>\u2013 8&nbsp;=&nbsp;\u20132w        Subtract 5w&nbsp;from both sides<\/p>\n\n\n\n<p>4&nbsp;=&nbsp;w            Divide both sides by \u20132<\/p>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-background has-large-font-size\" style=\"background-color:#9dcfec\"><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\" style=\"color:#b00012\"><strong>Solve for&nbsp;<em>m<\/em>.<\/strong><\/p>\n\n\n\n<p>\u2013 4<em>m<\/em>&nbsp;\u2212 10 =&nbsp;\u2013 6<em>m<\/em><\/p>\n\n\n\n<p><em>m<\/em>&nbsp;=_______<\/p>\n<\/div><\/div>\n\n\n\n<p>Solve for&nbsp;<em><em>m<\/em><\/em>.<\/p>\n\n\n\n<p>\u2013 4<em>m<\/em>&nbsp;\u2212 10&nbsp;=&nbsp;\u2013 6<em>m<\/em><\/p>\n\n\n\n<p>\u201310&nbsp;=&nbsp;\u20132m      Add 4m&nbsp;to both sides<\/p>\n\n\n\n<p> 5&nbsp;=&nbsp;m           Divide both sides by \u2013<em>2<\/em><\/p>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-background has-large-font-size\" style=\"background-color:#ecb2ea\"><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 has-large-font-size\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<p class=\"has-text-color\" style=\"color:#b00012\"><strong>Solve for&nbsp;s.<\/strong><\/p>\n\n\n\n<p>3<em>s<\/em>&nbsp;\u2212 2 = 5<em>s<\/em><\/p>\n\n\n\n<p>s&nbsp;=&nbsp;_______<\/p>\n<\/div><\/div>\n\n\n\n<p>Solve for&nbsp;s.<\/p>\n\n\n\n<p>3s&nbsp;\u2212 2&nbsp;=&nbsp;5s<\/p>\n\n\n\n<p>\u2013 2&nbsp;=&nbsp;2s     Subtract 3s&nbsp;from both sides     <\/p>\n\n\n\n<p>\u20131&nbsp;=&nbsp;s           Divide both sides by 2<\/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\/90105\/630\/948\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-83.png\" alt=\"\" class=\"wp-image-7939\" srcset=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-83.png 500w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-83-300x300.png 300w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-83-150x150.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\/90104\/649\/896\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-92.png\" alt=\"\" class=\"wp-image-7940\" srcset=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-92.png 500w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-92-300x300.png 300w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-92-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/a><\/figure>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Solve equations with variables on both sides Key Notes : To solve for a variable, use inverse operations to undo the operations in the equation. Be sure to gather like terms and to do the same operation to both sides of the equation. Learn with an example Solve for&nbsp;w. -8 + 5w&nbsp;= 3w w&nbsp;=&nbsp;_______ Solve<a class=\"more-link\" href=\"https:\/\/9thclass.deltapublications.in\/index.php\/n-6-solve-equations-with-variables-on-both-sides\/\">Continue reading <span class=\"screen-reader-text\">&#8220;N.6 Solve equations with variables on both sides&#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-238","page","type-page","status-publish","hentry","entry"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/9thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/238","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/9thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/9thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/9thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/9thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/comments?post=238"}],"version-history":[{"count":13,"href":"https:\/\/9thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/238\/revisions"}],"predecessor-version":[{"id":16689,"href":"https:\/\/9thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/238\/revisions\/16689"}],"wp:attachment":[{"href":"https:\/\/9thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/media?parent=238"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}