Question

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

number of solutions?
y = 6x - b
-3x + 1y =
T +
COAN

Answer 1

C

Explanation:

Answer 2

`b=6`

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+(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+(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`