{"id":236,"date":"2022-04-13T08:47:41","date_gmt":"2022-04-13T08:47:41","guid":{"rendered":"http:\/\/9thclass.deltapublications.in\/?page_id=236"},"modified":"2025-04-08T17:25:13","modified_gmt":"2025-04-08T17:25:13","slug":"n-5-solve-advanced-linear-equations","status":"publish","type":"page","link":"https:\/\/9thclass.deltapublications.in\/index.php\/n-5-solve-advanced-linear-equations\/","title":{"rendered":"N.5 Solve advanced linear equations"},"content":{"rendered":"\n

Solve advanced linear equations<\/strong><\/h2>\n\n\n\n

Key Notes :<\/p>\n\n\n\n

Like terms are terms that have the same variables raised to the same powers. To add like terms, add their coefficients.<\/p>\n\n\n\n

Learn with an example<\/strong><\/p>\n\n\n\n

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Solve for u<\/em>.<\/strong><\/p>\n\n\n\n

2u<\/em> + 8u<\/em> \u2212 1 = 9<\/p>\n\n\n\n

u<\/em> = ________<\/p>\n<\/div><\/div>\n\n\n\n

Combine the u<\/em> terms:<\/p>\n\n\n\n

2u+8u-1=9<\/p>\n\n\n\n

10u-1=9<\/p>\n\n\n\n

Use inverse operations to isolate the variable. Add 1 to both sides:<\/p>\n\n\n\n

10u-1+1=9+1<\/p>\n\n\n\n

10u=10<\/p>\n\n\n\n

Divide by 10 to solve for u<\/em>:<\/p>\n\n\n\n

10u\/10=10\/10<\/p>\n\n\n\n

u=1<\/p>\n\n\n\n

The answer is 1.<\/p>\n<\/div><\/div>\n\n\n\n

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Solve for x<\/em>.<\/strong><\/p>\n\n\n\n

3x<\/em> \u2212 2x<\/em> \u2212 1 = 4<\/p>\n\n\n\n

x<\/em> = ________<\/p>\n<\/div><\/div>\n\n\n\n

x<\/em> is the same as 1x<\/em>.<\/p>\n\n\n\n

Combine the x<\/em> terms:<\/p>\n\n\n\n

3x-2x-1=4<\/p>\n\n\n\n

x-1=4<\/p>\n\n\n\n

Use inverse operations to isolate the variable. Add 1 to both sides:<\/p>\n\n\n\n

x-1+1=4+1<\/p>\n\n\n\n

x=5<\/p>\n\n\n\n

The answer is 5.<\/p>\n<\/div><\/div>\n\n\n\n

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Solve for q<\/em>.<\/strong><\/p>\n\n\n\n

17q<\/em> \u2212 10q<\/em> \u2212 4 = 10<\/p>\n\n\n\n

q<\/em> =________<\/p>\n<\/div><\/div>\n\n\n\n

Combine the q<\/em> terms:<\/p>\n\n\n\n

17q<\/em><\/strong> \u2212 10q<\/em><\/strong> \u2212 4=10<\/p>\n\n\n\n

7q-4=10<\/p>\n\n\n\n

Use inverse operations to isolate the variable. Add 4 to both sides:<\/p>\n\n\n\n

7q-4+4=10+4<\/p>\n\n\n\n

7q=14<\/p>\n\n\n\n

Divide by 7 to solve for q<\/em>:<\/p>\n\n\n\n

7q\/7=14\/7<\/p>\n\n\n\n

q=2<\/p>\n\n\n\n

The answer is 2.<\/p>\n<\/div><\/div>\n\n\n\n

let’s practice!<\/p>\n\n\n\n

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\"\"<\/a><\/figure>\n<\/div>\n\n\n\n
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\"\"<\/a><\/figure>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"

Solve advanced linear equations Key Notes : Like terms are terms that have the same variables raised to the same powers. To add like terms, add their coefficients. Learn with an example Solve for u. 2u + 8u \u2212 1 = 9 u = ________ Combine the u terms: 2u+8u-1=9 10u-1=9 Use inverse operations to isolate the variable. Add 1 to bothContinue reading “N.5 Solve advanced linear equations”<\/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-236","page","type-page","status-publish","hentry","entry"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/9thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/236","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=236"}],"version-history":[{"count":17,"href":"https:\/\/9thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/236\/revisions"}],"predecessor-version":[{"id":16687,"href":"https:\/\/9thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/236\/revisions\/16687"}],"wp:attachment":[{"href":"https:\/\/9thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/media?parent=236"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}