Question

Solve this system of equations using the addition method.
x+y=6
-x+3y=-2 Solve this system of equations using the addition method.
x+y=6
-x+3y=-2 @Mathematics

Answer 1

y=1 x=5

Answer 2

They're all lined up. Now just add through.

x+y=6
-x+3y=-2
-----------
0+4y=4
4y=4
divide both sides by 4.
y=1

plug y back into the first equation (or any of the two for that matter)

x+1=6 = x=5
or
-x+3(1)=-2 = -x=-5 = x=5

Answer 3

y=1 and x=5

Answer 4

addinng both equations
x+y=6
-x+3y=-2

4y=4
y=1
put y in any one
x=5