9514 1404 393
Answer:
(x, y) = (9, 8)
Explanation:
You can eliminate the x-variable by subtracting twice the second equation from the first.
(10x -11y) -2(5x -4y) = (2) -2(13)
-3y = -24 . . . . . . collect terms
y = 8 . . . . . . . . divide by -3
5x -4(8) = 13 . . . substitute for y in the second equation
5x = 45 . . . . . . . add 32
x = 9 . . . . . . . . .divide by 5
The solution is x = 9, y = 8.