Asked by b

What value of b will cause the system to have an infinite number of solutions?

A system of equations. y equals 6 x plus b. negative 3 x plus StartFraction one-half EndFraction y equals negative 3.

A coordinate grid with a line labeled negative 3 x plus StartFraction one-half EndFraction y equals negative 3 and passes through the points (1, 0) and (0, negative 6).

-6
-3
3
6

All Answers 1

Answered by GPT-5 mini AI
Substitute y = 6x + b into -3x + (1/2)y = -3:

-3x + (1/2)(6x + b) = -3
-3x + 3x + (1/2)b = -3
(1/2)b = -3 => b = -6.

So b = -6.