Madeline and Vivian found that the sum of -3 and 4 times the opposite of a number is 27 larger than the number. What is the number?

Question

0

769

1

Guest Apr 11, 2015

+130516

+5

Best Answer

If N is the number, then -N is its opposite. So we have ......

-3 + 4(-N) = N + 27 simplify

-3 - 4N = N + 27 add 4N to both sides and subtract 27 from both sides

-30 = 5N divide both sides by 5

-6 = N

CPhill Apr 11, 2015

CPhill · Answer 1 · 2015-04-11T07:05:13

If N is the number, then -N is its opposite. So we have ......

-3 + 4(-N) = N + 27 simplify

-3 - 4N = N + 27 add 4N to both sides and subtract 27 from both sides

-30 = 5N divide both sides by 5

-6 = N