Question

Try the numbers 31, 32, 33, 34 in the equation 4 × (x + 8) = 5x − 2

to test whether any of them is a solution.
a. 31 is a solution. c. 33 is a solution.
b. 34 is a solution. d. 32 is a solution.

Answer 1

b. 34 is a solution

Explanation:

we have

`4(x+8)=5x-2`

solve for x

apply distributive property left side

`4x+32=5x-2`

subtract 4x both sides

`5x-4x-2=32`

`x-2=32`

Adds 2 both sides

`x=34`

therefore

34 is a solution