Answer:
(x, y) = (8, 5)
Explanation:
I like to use a graphing calculator with weird equations like these. (See the attached.)
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If you want to solve by hand, you can eliminate fractions, then use your favorite method: substitution, elimination, Cramer's rule, graphing, matrix methods, guess and check, whatever.
Multiply the first equation by 2.
... 6y = 3x +6
This has a factor of 3 that can be removed, and it can be put into standard form by subtracting y and the constant.
... x - 2y = -2
Multiply the second equation by 4.
... 4y - x = 12
You can add these equation to eliminate x.
... (x -2y) +(4y -x) = (-2) +(12)
... 2y = 10 . . . . . . simplify
... y = 5 . . . . . . . . divide by the coefficient of y
Now you can use either equation to find x.
... x - 2·5 = -2
... x = 10 -2 = 8
Then the solution is (x, y) = (8, 5).