Question

I need answer ASAP!

How many solutions does this system have?
6x+3y=-12
y=-2x+4

one
two
an infinite number
no solution

Answer 1

no solution

Explanation:

when you substitute
`y` for
`-2x+4` the equation is false

how I solved this:

1. substitute
`y` for
`-2x+4`

`6x+3(-2x+4)=-12`

2. distribute the 3

`6x+-6x+12=-12`

3. combine like terms

`12=-12`

this is incorrect because 12 does not equal -12, so there is no solution