Question

Which value, when placed in the box, would result in a system of equations with infinitely many solutions?

y = 2x – 5

2y – 4x =

–10
–5
5
10

Answer 1

-10

Reason: Substitute y = 2x − 5 into 2y − 4x: 2(2x − 5) − 4x = 4x − 10 − 4x = −10. So the second equation matches only when its right side is −10, making the two equations the same (infinitely many solutions).