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

Option C) b=6

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`