Question

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.

Answer 1

The answer to this question is -6.

Hope this helps!!! :)

Answer 2

`b=-6`

Explanation:

we have

`y=6x+b` ----> equation A

`-3x+(1)/(2)y=-3` -----> equation B

we know that

If equation A is the same of equation B, then the system of equations will have infinite solutions

Convert equation B in slope intercept form

Isolate the variable y

Multiply by 2 both sides to remove the fractions

`-6x+y=-6`

Adds 6x both sides

`y=6x-6` -----> equation C (slope intercept form)

Equate equation A and equation C and solve for b

`6x+b=6x-6`

`b=-6`