Question

What value of b will cause the system to have an infinite number of solutions?

y = 6x – b

–3x + StartFraction one-half EndFractiony = –3

b =

2
4
6
8

Answer 1

c

Explanation:

i took the quiz

Answer 2

6 is the answer

Explanation:

Equation A:

y=6x-b

Equation B:

-3x+1/2y= -3

If the system of equation has infinite number of solutions then Equation A is equal to Equation B.

We will take equation B and move all the values to the R.H.S and isolate variable y

-3x+1/2y = -3

1/2y= -3 +3x

Multiply both sides by 2

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

y = -6+6x

y = 6x-6 ------- Equation B(I)

Now equate Equation A and Equation B(I)

6x-b = 6x-6

Subtract 6x from both sides.

6x-6x-b = 6x-6x - 6

-b = -6

Negative sign will be cancelled out by each other.

b = 6