Question

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

Answer 1

Answer:

$b=6$

Step-by-step explanation:

The correct question is

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

y = 6x – b

–3x + 1/2y = –3

we have

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

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

we know that

If the system has infinite number of solutions then, the equation A must be equal to the equation B

so

isolate variable y in the equation B

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

Multiply by $2$ both sides

$-6x+y=-6$

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

To find out the value of b, equate equation A and equation B

$6x-b=6x-6$

$b=6$