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

Answer:

no solution

Step-by-step 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