Solve for y in the first equation

x + 3y = 6

2x - y = 10

Solve equation [1] for the variable x [1] x = (3y+6)

Plug this in or variable x in equation [2]

[2] 2 (-3y+6) - y = 10

[2] - 7y=-2

/ / solve equation [2] for the variable y

[2] 7y = 2

[2] y=2/7

By now we know this much

X = - 3y+6

Y=2/7

Use the y value to solve for x

X=-3 (2/7) + 6=36/7

(x, y) = (36,7), (2/7)