9514 1404 393
Answer:
(2, 3)
Step-by-step explanation:
The coefficients of x are opposites, so the x-terms can be eliminated by adding the two equations together:
(2x+3y) +(-2x+5y) = (13) +(11)
8y = 24 . . . simpify
y = 3 . . . . . divide by 8
Only one answer choice has y = 3: (x, y) = (2, 3).
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If you like, you can finish the solution by substituting into one of the equations.
2x +3(3) = 13
2x = 4 . . . . . . . subtract 9
x = 2 . . . . . . . . divide by 2
The solution is (x, y) = (2, 3).
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A graph confirms this solution.
