Answer:
x = 2/3
y = 5
Explanation:
6x + y = 9
3x -4y = -18
Times the second equation by -2
6x + y = 9
-6x + 8y = 36
9y = 45
y = 5
Now put 5 in for y and solve for x
6x + 5 = 9
6x = 4
x = 2/3
Let's check
6(2/3) + 5 = 9
4 + 5 = 9
9 = 9
So, x = 2/3 and y = 5 is the correct answer.