Solve for x and y

3x+y=6

x+y=2

3x+y=6

x+y=2

rewrite x + y = 2 as y = 2-x

Replace Y in the first equation with the re-written equation:

3x + 2-x = 6

Solve for x:

3x + 2-x = 6

subtract x:

2x + 2 = 6

Subtract 2 from each side:

2x = 4

Divide both sides by 2:

x = 2

Now you have x, replace x with 2 in the second equation and solve for y:

x + y = 2

2 + y = 2

Subtract y 2 from each side:

y = 0

The answer is: X = 2, Y = 0