when seven times a number is decreased by 2 the result is 61 what is the number<\/p>\n\n\n\n
The correct answer and explanation is:<\/mark><\/strong><\/p>\n\n\n\n Let’s define the unknown number as xx.<\/p>\n\n\n\n The problem states: This translates to the equation: To find xx, solve the equation step-by-step.<\/p>\n\n\n\n Step 1: Add 2 to both sides of the equation<\/strong> Step 2: Divide both sides by 7<\/strong> The number is 9<\/strong>.<\/p>\n\n\n\n In algebra, unknown quantities are often represented by variables such as xx. The phrase “seven times a number” means multiplying the unknown number by 7. The phrase “decreased by 2” means subtracting 2 from that product. The problem states the final result is 61, so the algebraic expression becomes 7x\u22122=617x – 2 = 61.<\/p>\n\n\n\n To solve for xx, it is important to perform operations that isolate xx on one side of the equation. First, undo the subtraction by adding 2 to both sides. This maintains the equality because adding the same value to both sides keeps the equation balanced.<\/p>\n\n\n\n After simplifying, 7x=637x = 63, which means 7 times the number equals 63. To find the original number, divide both sides by 7. Dividing reverses the multiplication, leaving x=9x = 9.<\/p>\n\n\n\n Verifying the answer: Understanding how to translate words into algebraic expressions and solving step-by-step is fundamental in algebra. It enables solving various real-world problems involving unknown quantities.<\/p>\n","protected":false},"excerpt":{"rendered":" when seven times a number is decreased by 2 the result is 61 what is the number The correct answer and explanation is: Let’s define the unknown number as xx. The problem states:“Seven times a number decreased by 2 is 61.” This translates to the equation:7x\u22122=617x – 2 = 61 To find xx, solve the […]<\/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-39662","post","type-post","status-publish","format-standard","hentry","category-quiz-questions"],"_links":{"self":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/39662","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=39662"}],"version-history":[{"count":1,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/39662\/revisions"}],"predecessor-version":[{"id":39664,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/39662\/revisions\/39664"}],"wp:attachment":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/media?parent=39662"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/categories?post=39662"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/tags?post=39662"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}
“Seven times a number decreased by 2 is 61.”<\/p>\n\n\n\n
7x\u22122=617x – 2 = 61<\/p>\n\n\n\n
This will isolate the term with xx on one side. 7x\u22122+2=61+27x – 2 + 2 = 61 + 2 7x=637x = 63<\/p>\n\n\n\n
This will give the value of xx. 7×7=637\\frac{7x}{7} = \\frac{63}{7} x=9x = 9<\/p>\n\n\n\n
\n\n\n\nExplanation<\/h3>\n\n\n\n
Multiply 9 by 7 to get 63, then subtract 2 to get 61, which matches the problem statement.<\/p>\n\n\n\n