Question

What value for the constant,h, in the equation shown below will result in an onfinite number of solutions? Equation: 6x+18=h(3x+9) Answer choices: a. -2 b.-3 c.2 d.3

Answer 1

c.2

Explanation:

6x+18=h(3x+9)

To have an infinite number of solutions, the left and right side must be equal

Distribute the h

6x+18 = 3xh +9h

6x = 3xh

Divide by x

6x/x = 3xh/x

6 = 3h

Divide by 3

6/3 =3h/3

2 =h

Lets verify

18 = 9h

Divide by 9

18/9 = 9h/9

2 =h

h must be 2