Question

Which values of a and b make this system of equations have infinitely many solutions?

2y + 16 = 6x
y = ax + b
a = -3, b = 8
a = -3, b = -8
a = 3, b = -8
a = 3, b = 8

Answer 1

9514 1404 393

Answer:

a = 3, b = -8

Explanation:

Solving the first equation for y, we get ...

2y +16 = 6x . . . . . given

y = 8 +3x . . . . . . . divide by 2

y = 3x -8 . . . . . . . subtract 8

In order for the system of equations to have infinitely many solutions, the second equation must be the same as this:

y = ax +b

a = 3, b = -8