What is the positive solution of x? – 36 = 5x?<\/p>\n\n\n\n
The correct answer and explanation is:<\/strong><\/mark><\/p>\n\n\n\n We are given the equation: \u221236=5x-36 = 5x<\/p>\n\n\n\n To solve for xx, divide both sides of the equation by 5: x=\u2212365x = \\frac{-36}{5} x=\u22127.2x = -7.2<\/p>\n\n\n\n This is the only<\/strong> solution to the equation. However, you asked for the positive solution<\/strong>. Since the only solution is negative<\/strong>, there is no positive solution<\/strong> to this equation.<\/p>\n\n\n\n There is no positive solution; the solution is x=\u22127.2x = -7.2<\/strong>.<\/p>\n\n\n\n This problem is an example of solving a simple linear equation<\/strong> of the form ax=bax = b, where we isolate the variable xx to find its value.<\/p>\n\n\n\n The given equation is: \u221236=5x-36 = 5x<\/p>\n\n\n\n This means that multiplying some number xx by 5 gives \u221236-36. To isolate xx, we perform the inverse operation of multiplication \u2014 that is, we divide both sides of the equation by 5. Mathematically: \u2212365=x\\frac{-36}{5} = x x=\u22127.2x = -7.2<\/p>\n\n\n\n This solution is unique<\/strong> \u2014 meaning that a linear equation with one variable typically has only one solution. The value x=\u22127.2x = -7.2 satisfies the equation because: 5\u00d7(\u22127.2)=\u2212365 \\times (-7.2) = -36<\/p>\n\n\n\n Now, it\u2019s important to interpret the question carefully. The question asks for the positive solution<\/strong> of the equation. But in this case, the only solution is negative. There are no other values for xx that satisfy the equation. So, no positive value<\/strong> of xx can satisfy the equation \u221236=5x-36 = 5x.<\/p>\n\n\n\n This demonstrates an important concept in algebra: not all equations will have positive solutions, and sometimes, the nature of the equation limits the sign of the solution.<\/p>\n","protected":false},"excerpt":{"rendered":" What is the positive solution of x? – 36 = 5x? The correct answer and explanation is: We are given the equation: \u221236=5x-36 = 5x Step-by-Step Solution: To solve for xx, divide both sides of the equation by 5: x=\u2212365x = \\frac{-36}{5} x=\u22127.2x = -7.2 This is the only solution to the equation. However, you […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-26874","post","type-post","status-publish","format-standard","hentry","category-quiz-questions"],"_links":{"self":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/26874","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/comments?post=26874"}],"version-history":[{"count":1,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/26874\/revisions"}],"predecessor-version":[{"id":26875,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/26874\/revisions\/26875"}],"wp:attachment":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/media?parent=26874"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/categories?post=26874"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/tags?post=26874"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}Step-by-Step Solution:<\/h3>\n\n\n\n
\n\n\n\nFinal Answer:<\/h3>\n\n\n\n
\n\n\n\nExplanation (300 words):<\/h3>\n\n\n\n