{"id":144564,"date":"2024-09-24T21:08:54","date_gmt":"2024-09-24T21:08:54","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=144564"},"modified":"2024-09-24T21:08:56","modified_gmt":"2024-09-24T21:08:56","slug":"what-is-the-solution-to-this-equation","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2024\/09\/24\/what-is-the-solution-to-this-equation\/","title":{"rendered":"What is the solution to this equation"},"content":{"rendered":"\n

What is the solution to this equation?
30.16=17.56+5x<\/p>\n\n\n\n

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

To solve the equation 30.16=17.56+5×30.16 = 17.56 + 5×30.16=17.56+5x, we want to isolate the variable xxx. Here\u2019s how to do it step by step:<\/p>\n\n\n\n

Step 1: Isolate the term with xxx<\/h3>\n\n\n\n

Start by moving 17.5617.5617.56 from the right side of the equation to the left side. This can be achieved by subtracting 17.5617.5617.56 from both sides:30.16\u221217.56=5×30.16 – 17.56 = 5×30.16\u221217.56=5x<\/p>\n\n\n\n

Step 2: Perform the subtraction<\/h3>\n\n\n\n

Now, calculate 30.16\u221217.5630.16 – 17.5630.16\u221217.56:30.16\u221217.56=12.6030.16 – 17.56 = 12.6030.16\u221217.56=12.60<\/p>\n\n\n\n

Now the equation looks like this:12.60=5×12.60 = 5×12.60=5x<\/p>\n\n\n\n

Step 3: Solve for xxx<\/h3>\n\n\n\n

Next, to isolate xxx, divide both sides of the equation by 555:x=12.605x = \\frac{12.60}{5}x=512.60\u200b<\/p>\n\n\n\n

Step 4: Perform the division<\/h3>\n\n\n\n

Calculating 12.60\u00f7512.60 \\div 512.60\u00f75:x=2.52x = 2.52x=2.52<\/p>\n\n\n\n

Final Solution<\/h3>\n\n\n\n

Thus, the solution to the equation 30.16=17.56+5×30.16 = 17.56 + 5×30.16=17.56+5x isx=2.52x = 2.52x=2.52<\/p>\n\n\n\n

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

In algebra, solving equations often involves isolating the variable on one side. This process typically includes basic arithmetic operations\u2014addition, subtraction, multiplication, and division.<\/p>\n\n\n\n

    \n
  1. Isolating the Variable<\/strong>: We began by moving all terms that do not include the variable to the opposite side. In our case, we subtracted 17.5617.5617.56 from both sides to isolate the term involving xxx.<\/li>\n\n\n\n
  2. Performing Operations<\/strong>: It\u2019s essential to execute arithmetic operations accurately. We ensured that the calculations\u2014both the subtraction and the division\u2014were conducted step by step.<\/li>\n\n\n\n
  3. Dividing<\/strong>: Finally, dividing the resulting number by the coefficient of xxx (which was 555) provided us with the value of xxx.<\/li>\n<\/ol>\n\n\n\n

    This method of systematically applying operations to isolate the variable is fundamental in algebra and lays the groundwork for more complex equations in the future. The solution x=2.52x = 2.52x=2.52 indicates that when xxx takes this value, both sides of the original equation will be equal.<\/p>\n","protected":false},"excerpt":{"rendered":"

    What is the solution to this equation?30.16=17.56+5x The Correct answer and Explanation is: To solve the equation 30.16=17.56+5×30.16 = 17.56 + 5×30.16=17.56+5x, we want to isolate the variable xxx. Here\u2019s how to do it step by step: Step 1: Isolate the term with xxx Start by moving 17.5617.5617.56 from the right side 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-144564","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/144564","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=144564"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/144564\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=144564"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=144564"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=144564"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}