Question

If you were to solve the system using the addition method, what would you multiply the first equation by in order to make the x's add out of this system? -2x + 3y = 6 4x - 2y = 8

Answer 1

2 times 2=4
multiply first equation by 2 to get
-4x+6y=12
then add to get

-4x+6y=12
4x-2y=8 +
0x+4y=20

4y=20
y=5

sub back
-2x+3y=6
-2x+3(5)=6
-2x+15=6
-2x=-9
x=9/2=4.5


the number to multiply by is 2