{"id":80,"date":"2022-04-13T09:55:31","date_gmt":"2022-04-13T09:55:31","guid":{"rendered":"http:\/\/10thclass.deltapublications.in\/?page_id=80"},"modified":"2025-03-05T07:19:41","modified_gmt":"2025-03-05T07:19:41","slug":"d-13-write-equations-in-standard-form","status":"publish","type":"page","link":"https:\/\/10thclass.deltapublications.in\/index.php\/d-13-write-equations-in-standard-form\/","title":{"rendered":"D.13 Write equations in standard form"},"content":{"rendered":"\n<h2 class=\"wp-block-heading has-text-align-center has-text-color has-huge-font-size\" style=\"color:#00056d;text-transform:uppercase\"><strong>Write equations in standard form<\/strong><\/h2>\n\n\n\n<p class=\"has-text-color has-link-color has-huge-font-size wp-elements-04d9d6410ea0aa79bd5fd62d138d8458\" style=\"color:#74008b;text-transform:uppercase\">key notes:<\/p>\n\n\n\n<p class=\"has-large-font-size\">The&nbsp;<strong>standard form<\/strong>&nbsp;of a linear equation is<\/p>\n\n\n\n<p class=\"has-text-align-center has-foreground-color has-text-color has-large-font-size\">A<em>x<\/em>&nbsp;+ B<em>y<\/em>&nbsp;= C<\/p>\n\n\n\n<p class=\"has-text-align-center has-large-font-size\">where A and B are not both zero, and A, B, and C are integers whose GCF is 1.<\/p>\n\n\n\n<p class=\"has-text-align-center has-text-color has-link-color has-large-font-size wp-elements-3fefd20f8ce119a518e5f53333ab5486\" style=\"color:#105000\"><strong>Learn with an example<\/strong><\/p>\n\n\n\n<div class=\"wp-block-group\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<div class=\"wp-block-group has-background has-large-font-size\" style=\"background-color:#a6d8f2\"><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-7a382d1eba93c05716fe00800da139e1\" style=\"color:#b00012\">Rewrite the following equation in standard form.<\/p>\n\n\n\n<p class=\"has-text-align-center has-large-font-size\">y= \u201310\/7 x \u2212 10<\/p>\n<\/div><\/div>\n\n\n\n<p>Rewrite the equation in standard form.<\/p>\n\n\n\n<p><em>y<\/em>&nbsp;=&nbsp;-10\/7 <em>x<\/em>&nbsp;\u2212 10<br>10\/7x&nbsp;+&nbsp;y&nbsp;=&nbsp;-10          [ add 10\/7 x to both sides ]<\/p>\n\n\n\n<p>10x&nbsp;+ 7y&nbsp;=&nbsp;-70           [ Multiply both sides by 7 ]<\/p>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-background has-large-font-size\" style=\"background-color:#f2a6f2\"><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-7a382d1eba93c05716fe00800da139e1\" style=\"color:#b00012\">Rewrite the following equation in standard form.<\/p>\n\n\n\n<p class=\"has-text-align-center has-large-font-size\"><em>y<\/em>&nbsp;=&nbsp;-2<em>x<\/em>&nbsp;\u2212 3<\/p>\n<\/div><\/div>\n\n\n\n<p>Rewrite the equation in standard form.<\/p>\n\n\n\n<p><em>y<\/em>&nbsp;=&nbsp;-2<em>x<\/em>&nbsp;\u2212 3<br>2x&nbsp;+&nbsp;y&nbsp;=&nbsp;-3       Add 2x to both sides<\/p>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-background has-large-font-size\" style=\"background-color:#b3a2eb\"><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-7a382d1eba93c05716fe00800da139e1\" style=\"color:#b00012\">Rewrite the following equation in standard form.<\/p>\n\n\n\n<p class=\"has-text-align-center has-large-font-size\"><em>y<\/em>&nbsp;= 2<em>x<\/em>&nbsp;+ 10<\/p>\n<\/div><\/div>\n\n\n\n<p>Rewrite the equation in standard form.<\/p>\n\n\n\n<p>y = 2x + 10<\/p>\n\n\n\n<p>\u20132x + y = 10     Subtract 2x from both sides<\/p>\n\n\n\n<p>2x \u2212 y = \u201310     Multiply both sides by \u20131<\/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\/83155\/622\/874\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-22.png\" alt=\"\" class=\"wp-image-6734\" srcset=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-22.png 500w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-22-300x300.png 300w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-22-150x150.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\/82236\/545\/122\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-32.png\" alt=\"\" class=\"wp-image-6735\" srcset=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-32.png 500w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-32-300x300.png 300w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-32-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/a><\/figure>\n<\/div>\n<\/div>\n<\/div><\/div>\n","protected":false},"excerpt":{"rendered":"<p>Write equations in standard form key notes: The&nbsp;standard form&nbsp;of a linear equation is Ax&nbsp;+ By&nbsp;= C where A and B are not both zero, and A, B, and C are integers whose GCF is 1. Learn with an example Rewrite the following equation in standard form. y= \u201310\/7 x \u2212 10 Rewrite the equation in<a class=\"more-link\" href=\"https:\/\/10thclass.deltapublications.in\/index.php\/d-13-write-equations-in-standard-form\/\">Continue reading <span class=\"screen-reader-text\">&#8220;D.13 Write equations in standard form&#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-80","page","type-page","status-publish","hentry","entry"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/80","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/comments?post=80"}],"version-history":[{"count":17,"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/80\/revisions"}],"predecessor-version":[{"id":17594,"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/80\/revisions\/17594"}],"wp:attachment":[{"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/media?parent=80"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}