Answer:
(2,3)
Explanation:
Because both equations involve the y-term -4y, elimination by addition/subtraction is a good choice as we solve this system of linear equations.
Multiply the 1st equation by -1, obtaining -x + 4y = 10; then add the 2nd equation to this result:
-x + 4y = 10
2x - 4y = -8
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x = 2
Next, find y. Substitute 2 for x in the first equation: 2 - 4y = -10. Subtract 2 from both sides, obtaining -4y = -12. Then y = 3.
The solution is (2,3).