Question

Solve for z: 5(2z-7) = -2z + 7

A. z = 7/2
B. z= 21/4
C. z= -7/2
D. z= - 7/3​

Answer 1

The answer is

`(7)/(2)`

Explanation:

1. Distribute

`5(2z - 7) = - 2z + 7 \\ 10z - 35 = - 2z + 7`

2. Solve

`10z - 35 = - 2z + 7 \\ (+ 2z \: \: \: \: \: \: \: \: \: \: \: \: \: \: = + 2z \: \: \: \: \: \: \: )/(12z - 35 = 7) \\ ( \: \: \: \: \: \: \: \: \: \: \: \: \: + 35 = + 35)/(12z = 42 ) \\ \\ (12z)/(12) = (42)/(12) \\ \\ z = 3.5 \: or \: (7)/(2)`

Answer 2

A. z = 7/2

Explanation:

First, distribute the 5 into 2z and 7 to get 10z - 35 for the left side and the right side should be the same. Add 2z on both sides to get to this equation 12z - 35 = 7. Add 35 on both sides to get 12z = 42. Divide 12 on both sides, since it is an improper whole number, the fraction would be left as 42/12. However, both numbers can be divisible by 6 leaving your z value as 7/2.