Question

If infinitely many values of y satisfy the equation 2(4+cy) = 12y+8, then what is the value of c?

Answer 1

c = 6

Explanation:

Since there are an infinite number of solutions for y

Choose any value for y and substitute into the equation.

let y = 1, then

2(4 + c) = 12 + 8 = 20 ( divide both sides by 2 )

4 + c = 10 ( subtract 4 from both sides )

c = 6

Answer 2

c = 6

Explanation:

2(4 + cy) = 12y + 8

8 + 2cy = 12y + 8

12y + 8 = 8 + 2cy

12y - 2cy = 8 - 8

2y (6 - c) = 0

Divide through by 2y

(6 - c) = 0

c = 6