Question

Which steps could be used to solve this equation?

2/3x + 9 = 15

A) Multiply both sides by the reciprocal of 2/3, then
subtract 9 from both sides.

B) Subtract 9 from both sides, then multiply both sides by the reciprocal of 2/3.

C) Divide both sides by the reciprocal of 2/3, then
subtract 9 from both sides.

D) Subtract 9 from both sides, then divide both sides by the reciprocal of 2/3

Answer 1

answer is option B

Explanation:

ok the equation is 2/3 x +9 = 15

if we substract 9 from both sides it becomes, 2/3x +9-9 = 15-9.

2/3x = 6

now if we multiply both sides by the reciprocal of 2/3 ( reciprocal means flip it for example receprocal or 2/3 is 3/2)

we multiply both side by reciprocal ie,

2/3 x 3/2 which is 1 because the 3 on the numerator cancels with the 3 on the deniy and the 2 on the numerator cancels with 2 on the denominator. then you are left with only x on the left side.

x = 6 x 3/2 = 18/2 = 9.