What value of b will make the system of equations have an infinite number of solutions?y = -2x + b 4x + 2y = 8

Rewrite the second equation, 4x + 2y = 8, by dividing every term by 2: 2x + y = 4, or y = -2x + 4. For the system to have infinitely many solutions, both equations must describe the same line, so b must equal 4. The correct choice is C, 4.

AI-written and checked against the verified answer.