Solve 5x +14 = k For x.<\/p>\n\n\n\n
The correct answer and explanation is:<\/strong><\/mark><\/p>\n\n\n\n Correct Answer:<\/strong> Step 1: Subtract 14 from both sides<\/strong> Step 2: Divide both sides by 5<\/strong> Final Answer:<\/strong> Explanation (300 words):<\/strong> Start by removing the number added to the term containing x<\/strong>. In this case, 14<\/strong> is added to 5x<\/strong>. The inverse of addition is subtraction, so subtract 14<\/strong> from both sides of the equation. This keeps the equation balanced and simplifies the left side to just the term 5x<\/strong>. The right side becomes k \u2212 14<\/strong>.<\/p>\n\n\n\n Now you are left with 5x = k \u2212 14<\/strong>. The next step is to remove the coefficient 5<\/strong> that is multiplied by x<\/strong>. The inverse operation of multiplication is division. So divide both sides of the equation by 5<\/strong>. This step isolates x<\/strong> completely and gives the expression x = (k \u2212 14)\/5<\/strong>.<\/p>\n\n\n\n This solution is considered general because k<\/strong> can be any constant or variable expression. This form is useful in algebra when working with unknown quantities or when graphing linear functions. It shows that x<\/strong> depends directly on the value of k<\/strong> and changes as k<\/strong> changes. This expression helps in understanding the relationship between the variable x<\/strong> and any given value assigned to k<\/strong>.<\/p>\n","protected":false},"excerpt":{"rendered":" Solve 5x +14 = k For x. The correct answer and explanation is: Correct Answer:To solve the equation:5x + 14 = k, solve for x. Step 1: Subtract 14 from both sides5x + 14 \u2212 14 = k \u2212 14So, 5x = k \u2212 14 Step 2: Divide both sides by 5x = (k \u2212 […]<\/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-31402","post","type-post","status-publish","format-standard","hentry","category-quiz-questions"],"_links":{"self":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/31402","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=31402"}],"version-history":[{"count":1,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/31402\/revisions"}],"predecessor-version":[{"id":31403,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/31402\/revisions\/31403"}],"wp:attachment":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/media?parent=31402"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/categories?post=31402"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/tags?post=31402"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}
To solve the equation:
5x + 14 = k<\/strong>, solve for x<\/strong>.<\/p>\n\n\n\n
5x + 14 \u2212 14 = k \u2212 14
So, 5x = k \u2212 14<\/strong><\/p>\n\n\n\n
x = (k \u2212 14)\/5<\/p>\n\n\n\n
x = (k \u2212 14)\/5<\/strong><\/p>\n\n\n\n
\n\n\n\n
The goal in this equation is to isolate the variable x<\/strong> on one side of the equation. The given equation is 5x + 14 = k<\/strong>. It is a linear equation that follows the form of ax + b = c<\/strong>, where a = 5<\/strong>, b = 14<\/strong>, and c = k<\/strong>. Solving such an equation involves performing inverse operations to eliminate the constants and coefficients surrounding the variable.<\/p>\n\n\n\n