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

Answer:

$b=-6$

Step-by-step explanation:

we have

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

$-3x+\frac{1}{2}y=-3$ -----> 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

$6x+b=6x-6$  

$b=-6$

Answer 2

Answer:

The answer to this question is -6.

Hope this helps!!! :)