9514 1404 393
Answer:
(x, y) = (4, 10)
Explanation:
The coefficients of y are opposites, so the y-terms can be eliminated by adding the equations.
(8x -5y) +(2x +5y) = (-18) +(58)
10x = 40 . . . . . . simplify
x = 4 . . . . . . . . . divide by 10
Substituting this into the second equation gives ...
2(4) +5y = 58
5y = 50 . . . . . . . . subtract 8
y = 10 . . . . . . . . . .divide by 5
The solution is (x, y) = (4, 10).