Question

x+2y=10
x+y=6

Answer 1

y = 4, x = 2

Answer 2

Solve by using the elimination method.

x + 2y = 10
-2(x + y) = -2(6)
-2x - 2y = -12

now we have
x + 2y = 10
-2x - 2y = -12

Now eliminate 2y and add 10 and -12 and we have
-x = -2
-x/-x = -2/-x
x = 2

Now we know x = 2, plug 2 for x in the equation x + 2y = 10 and solve for y
x + 2y = 10
2 + 2y = 10
2y = 10 - 2
2y = 8
2y/2 = 8/2
y = 4

The solution is (2,4) x = 2 and y = 4

Answer 3

Also if you just want quick answers, use the link below
http://www.wolframalpha.com/input/?i=x%2B2y%3D10+and+x%2By%3D6+