Question

7x - y = 7
x + 2y = 6

Answer 1

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.