Question

Kenya solved the equation below. -6

(x-2)+3x=-3(x+3)+21 What is the solution to Kenya’s equation? –4 12 no solution infinitely many solutions

Answer 1

D

Explanation:

Answer 2

Kenya’s equation has infinitely many solutions

Explanation:

we have

`-6(x-2)+3x=-3(x+3)+21`

Solve for x

Eliminate the parenthesis

`-6x+12+3x=-3x-9+21`

Group terms that contain the same variable

`-6x+3x+3x=-9+21-12`

Combine like terms

`0=0` ---> is true for any value of x

therefore

Kenya’s equation has infinitely many solutions