Question

What value of b will cause the system to have an infinite
number of solutions?
у= 6x –b
—3х + 1/2y=-3

a) 2
b) 4
c)6
d)8

Answer 1

Answer:

Option C) b=6

Step-by-step explanation:

we know that

If two linear equations of a system of equations have an infinite of solutions, then both equations are identical

we have

$y=6x-b$ -----> equation A

$-3x+(1/2)y=-3$

Multiply by 2 both sides

$-6x+y=-6$

Adds 6x both sides

$y=6x-6$ ------> equation B

equate equation A and equation B

$6x-b=6x-6$

solve for b

$b=6$