Answer:
(5, 12)
Explanation:
Start with:
3x + 2y = 39
5x - y = 13
We'll use elimination by addition/subtraction here. Multiply the 2nd equation by 2 to obtain -2y, which cancels out the +2y in the first equation:
3x + 2y = 39
10x -2y = 26
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13x = 65
Dividing both sides by 13, we get x = 5.
Subbing 5 for x in the 2nd equation, we get 5(5) - y = 13.
Then 25 - y = 13, and 12 - y = 0. Finally, y = 12.
The solution is (5, 12).