Do -5x+12=-5x-12 have exactly one solutions<\/p>\n\n\n\n
The Correct Answer and explanation is :<\/strong><\/mark><\/p>\n\n\n\n The correct answer is: No, the equation does not have exactly one solution; it has no solutions.<\/strong><\/p>\n\n\n\n To determine whether the equation (-5x + 12 = -5x – 12) has exactly one solution, we can start by simplifying and analyzing the equation.<\/p>\n\n\n\n The equation can be rewritten as:<\/p>\n\n\n\n [ This simplifies to:<\/p>\n\n\n\n [ The equation (12 = -12) is a contradiction because (12) is not equal to (-12). This means that the original equation has no solutions at all.<\/p>\n\n\n\n In general, a linear equation of the form (Ax + B = Cx + D) can have:<\/p>\n\n\n\n In this case, since we simplified the equation and found that it results in a false statement, we conclude that the equation (-5x + 12 = -5x – 12) does not have exactly one solution; rather, it has no solutions at all. This illustrates an important concept in algebra: contradictions arise when attempting to equate two expressions that are inherently unequal. Understanding these principles helps in solving equations and identifying their characteristics effectively.<\/p>\n\n\n\n Thus, the answer is: No, the equation does not have exactly one solution; it has no solutions.<\/strong><\/p>\n","protected":false},"excerpt":{"rendered":" Do -5x+12=-5x-12 have exactly one solutions The Correct Answer and explanation is : The correct answer is: No, the equation does not have exactly one solution; it has no solutions. To determine whether the equation (-5x + 12 = -5x – 12) has exactly one solution, we can start by simplifying and analyzing 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-161991","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/161991","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=161991"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/161991\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=161991"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=161991"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=161991"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}Step 1: Rearranging the Equation<\/h3>\n\n\n\n
-5x + 12 + 5x = -5x – 12 + 5x
]<\/p>\n\n\n\n
12 = -12
]<\/p>\n\n\n\nStep 2: Analyzing the Result<\/h3>\n\n\n\n
Step 3: General Consideration of Linear Equations<\/h3>\n\n\n\n
\n
Conclusion<\/h3>\n\n\n\n