How do I solve kx+3x=4 for x<\/p>\n\n\n\n
The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n To solve the equation ( kx + 3x = 4 ) for ( x ), we will follow several steps that involve combining like terms and isolating the variable. Here’s a step-by-step breakdown of the solution:<\/p>\n\n\n\n The first step is to combine the terms on the left side of the equation. The equation can be rewritten as follows:<\/p>\n\n\n\n [ In this step, we have factored out ( x ) from both ( kx ) and ( 3x ), resulting in ( (k + 3)x ).<\/p>\n\n\n\n Next, we want to isolate ( x ) by getting rid of the coefficient ( (k + 3) ) in front of ( x ). To do this, we divide both sides of the equation by ( (k + 3) ):<\/p>\n\n\n\n [ Now we have expressed ( x ) in terms of ( k ). The final solution to the equation ( kx + 3x = 4 ) is:<\/p>\n\n\n\n [ In solving linear equations like this one, the goal is to isolate the variable ( x ). The equation originally contained two terms with ( x ): ( kx ) and ( 3x ). By combining these terms, we simplified the equation, making it easier to handle.<\/p>\n\n\n\n Dividing by ( (k + 3) ) assumes that ( k + 3 \\neq 0 ). If ( k + 3 = 0 ) (which happens when ( k = -3 )), the equation would not be valid because you cannot divide by zero. This consideration is crucial in algebraic manipulations, ensuring that solutions remain valid within defined parameters.<\/p>\n\n\n\n Overall, this method of combining like terms and isolating the variable is fundamental to solving linear equations and can be applied to various forms of similar equations. The result gives a clear expression for ( x ) in terms of ( k ), which can be useful in further applications or analyses.<\/p>\n","protected":false},"excerpt":{"rendered":" How do I solve kx+3x=4 for x The Correct Answer and Explanation is: To solve the equation ( kx + 3x = 4 ) for ( x ), we will follow several steps that involve combining like terms and isolating the variable. Here’s a step-by-step breakdown of the solution: Step 1: Combine Like Terms The […]<\/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-157335","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/157335","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=157335"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/157335\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=157335"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=157335"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=157335"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}Step 1: Combine Like Terms<\/h3>\n\n\n\n
(k + 3)x = 4
]<\/p>\n\n\n\nStep 2: Isolate the Variable<\/h3>\n\n\n\n
x = \\frac{4}{k + 3}
]<\/p>\n\n\n\nStep 3: Solution<\/h3>\n\n\n\n
x = \\frac{4}{k + 3}
]<\/p>\n\n\n\nExplanation of the Process<\/h3>\n\n\n\n