Answer:
x = 1.153846153846154
y = -1.923076923076923
Explanation:
Multiply 7x - y = 12 by -4 and then add it to 2x - 4y = 10
2x - 4y = 10
+(-4( 7x - y = 12))
-26x = -30

x = 1.153846153846154
Then plug in x to get y.
2(1.153846153846154) - 4y = 10
2.307692307692308 - 4y = 10
-2.307692307692308 -2.307692307692308
-4y = 7.692307692307692

y = -1.923076923076923