Check whether (-4, -12) is a solution of the system of equations.

y = 6x + 12

2x - y = 4
When the graphs of two equations are parallel, there are infinitely many solutions.

y = x + 4

y = 3x

solution: ( , )

1 answer

#1.

first equation:
LS = -12
RS = 6(-4) + 12 = -12

2nd equation:
LS = 2(-4) - (-12)
= -8 + 12 = 4
RS = 4

So, yes , it is a solution.

#2.

since y = x+4 and y = 3x , then

3x = x+4
2x = 4
x = 2
sub into either one of the two original equations ...

if x = 2, y = 6

so the solution is (2,6)

(Neither pair is parallel, I don't know why the statement about parallel lines was made.)