To solve the equation:<\/p>\n\n\n\n
9c + 1 = 10<\/strong><\/p>\n\n\n\n Follow these algebraic steps:<\/p>\n\n\n\n Subtract 1<\/strong> from both sides of the equation:9c+1\u22121=10\u221219c + 1 – 1 = 10 – 19c+1\u22121=10\u221219c=99c = 99c=9<\/p>\n\n\n\n Divide both sides of the equation by 9<\/strong>:9c9=99\\frac{9c}{9} = \\frac{9}{9}99c\u200b=99\u200bc=1c = 1c=1<\/p>\n\n\n\n c = 1<\/strong><\/p>\n\n\n\n Solving linear equations involves isolating the unknown variable using inverse operations. The equation provided is in the form of a one-step linear equation with an added constant term. The goal is to determine the value of c<\/strong> that makes the equation true.<\/p>\n\n\n\n Starting with 9c + 1 = 10<\/strong>, the constant +1<\/strong> is located on the same side as the variable term 9c<\/strong>. To simplify, the first step is to remove this constant by performing the opposite operation\u2014in this case, subtraction. Subtracting 1<\/strong> from both sides eliminates the +1<\/strong> and balances the equation. This operation yields 9c = 9<\/strong>.<\/p>\n\n\n\n At this stage, the equation has been reduced to a simpler form where the coefficient 9<\/strong> multiplies the variable c<\/strong>. To solve for c<\/strong>, the coefficient must be removed by applying the inverse operation of multiplication, which is division. Dividing both sides of the equation by 9<\/strong> eliminates the coefficient and isolates the variable.<\/p>\n\n\n\n This final step results in c = 1<\/strong>. Substituting 1<\/strong> back into the original equation verifies the correctness: The method used here applies to any similar linear equation: isolate the variable by removing constants and coefficients through appropriate inverse operations, ensuring each step maintains equality across both sides.<\/p>\n\n\n\n 9c + 1 = 10 solve the equations The Correct Answer and Explanation is: To solve the equation: 9c + 1 = 10 Follow these algebraic steps: Step 1: Eliminate the constant on the left side Subtract 1 from both sides of the equation:9c+1\u22121=10\u221219c + 1 – 1 = 10 – 19c+1\u22121=10\u221219c=99c = 99c=9 Step […]<\/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-235637","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/235637","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=235637"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/235637\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=235637"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=235637"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=235637"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}Step 1: Eliminate the constant on the left side<\/h3>\n\n\n\n
Step 2: Isolate the variable<\/h3>\n\n\n\n
Final Answer:<\/h3>\n\n\n\n
\n\n\n\nExplanation (300 words):<\/h3>\n\n\n\n
9(1) + 1 = 9 + 1 = 10<\/strong>, which confirms that the solution satisfies the original expression.<\/p>\n\n\n\n![\"\"](\"https:\/\/learnexams.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner8-620.jpeg\")
<\/figure>\n","protected":false},"excerpt":{"rendered":"