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Answer:
(x, y) = (8/3, -13/3)
Explanation:
The x-coefficients are opposites, so the x-terms can be eliminated simply by adding the equations.
(-4x -2y) +(4x +8y) = (-2) +(-24)
6y = -26
y = -26/6 = -13/3
Substituting into the first equation gives ...
-4x -2(-13/3) = -2
2x -13/3 = 1 . . . . . . . . divide by -2
2x = 16/3 . . . . . . . . . add 13/3
x = 8/3
The solution is (x, y) = (8/3, -13/3).