Multiple Select Question

Question

Which equations have infinitely many solutions? Select TWO that apply.

A.

B.

C.

D.

E.

Answer 1

A. 2x + 6 = 3(x + 2)
B. 3x + 5 = 3(x + 1)
C. x + 2 = 2x + 4
D. 4x - 8 = 8(x - 2)
E. 5x + 10 = 2(x + 5)

The options that have infinitely many solutions are A and C.

Explanation:
To have infinitely many solutions, the equations must be identities, meaning both sides of the equation are equal at all times. In options A and C, we can see that every value of x will satisfy the equation and therefore have infinitely many solutions.