Answer:
x = 4/3
y = 7/3
Explanation:
7x - y = 7
x + 2y = 6
Times the second equation by -7
7x - y = 7
-7x - 14y = -42
-15y = -35
y = 7/3
Now put 7/3 back in for y and solve for x
x + 2(7/3) = 6
x + 14/3 = 6
x + 14/3 = 18/3
x = 4/3
Let's check
4/3 + 2(7/3) = 6
4/3 + 14/3 = 6
18/3 = 6
6 = 6
So, x = 4/3 and y = 7/3 is the correct answer.