{"id":168896,"date":"2024-11-18T17:09:20","date_gmt":"2024-11-18T17:09:20","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=168896"},"modified":"2024-11-18T17:09:22","modified_gmt":"2024-11-18T17:09:22","slug":"solve-c-5-3-6-4","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2024\/11\/18\/solve-c-5-3-6-4\/","title":{"rendered":"Solve c-5.3=-6.4 ."},"content":{"rendered":"\n

Solve c-5.3=-6.4 . Write your answer as a decimal to the nearest tenth<\/p>\n\n\n\n

The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n

To solve the equation c\u22125.3=\u22126.4c – 5.3 = -6.4c\u22125.3=\u22126.4, we aim to isolate ccc on one side of the equation. Here\u2019s the step-by-step solution:<\/p>\n\n\n\n

Step 1: Isolate ccc<\/h3>\n\n\n\n

Add 5.3 to both sides of the equation to eliminate the subtraction of 5.3:c\u22125.3+5.3=\u22126.4+5.3c – 5.3 + 5.3 = -6.4 + 5.3c\u22125.3+5.3=\u22126.4+5.3<\/p>\n\n\n\n

This simplifies to:c=\u22121.1c = -1.1c=\u22121.1<\/p>\n\n\n\n

Final Answer:<\/h3>\n\n\n\n

c=\u22121.1c = -1.1c=\u22121.1<\/p>\n\n\n\n

\n\n\n\n

Explanation:<\/h3>\n\n\n\n

This equation involves a basic operation where a number is subtracted from the variable ccc. The goal is to determine the value of ccc that makes the equation true.<\/p>\n\n\n\n

    \n
  1. Understanding the Equation:<\/strong>
    The equation c\u22125.3=\u22126.4c – 5.3 = -6.4c\u22125.3=\u22126.4 means that when 5.3 is subtracted from some number ccc, the result is -6.4. To “undo” the subtraction and find ccc, we must perform the opposite operation, which is addition.<\/li>\n\n\n\n
  2. Adding 5.3 to Both Sides:<\/strong>
    By adding 5.3 to both sides, we maintain the balance of the equation (a fundamental principle in algebra). This step eliminates the -5.3 on the left-hand side, leaving ccc alone.<\/li>\n\n\n\n
  3. Performing the Arithmetic:<\/strong>
    Adding the numbers \u22126.4+5.3-6.4 + 5.3\u22126.4+5.3:\n
      \n
    • When working with decimals, align them and subtract since the numbers have opposite signs.<\/li>\n\n\n\n
    • The absolute value of -6.4 is 6.4, and that of 5.3 is 5.3. Subtracting 5.3 from 6.4 gives 1.1.<\/li>\n\n\n\n
    • The larger absolute value is from -6.4, so the result is negative: \u22121.1-1.1\u22121.1.<\/li>\n<\/ul>\n<\/li>\n\n\n\n
    • Result Verification:<\/strong>
      Substitute c=\u22121.1c = -1.1c=\u22121.1 back into the original equation to check:\u22121.1\u22125.3=\u22126.4-1.1 – 5.3 = -6.4\u22121.1\u22125.3=\u22126.4The equation holds true, confirming the solution.<\/li>\n<\/ol>\n\n\n\n

      By isolating ccc and carefully performing decimal arithmetic, we find that c=\u22121.1c = -1.1c=\u22121.1.<\/p>\n","protected":false},"excerpt":{"rendered":"

      Solve c-5.3=-6.4 . Write your answer as a decimal to the nearest tenth The Correct Answer and Explanation is: To solve the equation c\u22125.3=\u22126.4c – 5.3 = -6.4c\u22125.3=\u22126.4, we aim to isolate ccc on one side of the equation. Here\u2019s the step-by-step solution: Step 1: Isolate ccc Add 5.3 to both sides of the equation […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","ast-disable-related-posts":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"categories":[25],"tags":[],"class_list":["post-168896","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/168896","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/comments?post=168896"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/168896\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=168896"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=168896"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=168896"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}