9514 1404 393
Answer:
(1, 1)
Explanation:
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The y-coefficients have opposite signs and one is a multiple of the other. It is convenient to divide the second equation by 2 and add that to the first.
(5x -2y) +1/2(4x +4y) = (3) +1/2(8)
7x = 7 . . . . simplify
x = 1 . . . . . divide by 7
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4(1) +4y = 8 . . . . substitute for x in the second equation
4y = 4 . . . . . . . . subtract 4
y = 1 . . . . . . . . . . divide by 4
The solution is (x, y) = (1, 1).