Question

Solve for z: 5(2z-7) = -2z + 7A. z = 7/2B. z= 21/4C. z= -7/2D. z= - 7/3​

Answer 1

Answer:

A. z = 7/2

Step-by-step 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.

Answer 2

Answer:

The answer is

$\frac{7}{2}$

Step-by-step explanation:

1. Distribute

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

2. Solve

$10z - 35 = - 2z + 7 \\ \frac{+ 2z \: \: \: \: \: \: \: \: \: \: \: \: \: \: = + 2z \: \: \: \: \: \: \: }{12z - 35 = 7} \\ \frac{ \: \: \: \: \: \: \: \: \: \: \: \: \: + 35 = + 35}{12z = 42 } \\ \\ \frac{12z}{12} = \frac{42}{12} \\ \\ z = 3.5 \: or \: \frac{7}{2}$