Answer:
(x, y) = (3, 1)
Step-by-step explanation:
Add twice the second equation to the first:
(2x +6y) +2(4x -3y) = (12) +2(9)
10x = 30 . . . . . simplify
x = 3 . . . . . . . . divide by 10
Now, put this value into either equation and solve for y.
2(3) +6y = 12 . . . use the first equation
6y = 6 . . . . . . . subtract 6
y = 1 . . . . . . . . . divide by 6
The solution is (x, y) = (3, 1).
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A graphing calculator confirms this answer.
