Let's use substitution. First, isolate y in the fist equation:
7x - y = 10
-y = -7x + 10
y = 7x - 10
Now, substitute that into the second equation to find x:
7x + 5(7x - 10) = -6
7x + 35x - 50 = -6
42x - 50 = -6
42x = 44
x = 1.0476
Substitute that into the first equation to find y:
7(1.0476) - y = 10
7.3333 - y = 10
-y = 2.6667
y = -2.6667
Lastly, substitute both values into both original equations to check work:
7(1.0476) - (-2.6667) = 10 --> 7.3332 + 2.6667 = 10 <--This is correct
7(1.0476) + 5(-2.6667) = -6 --> 7.3332 - 13.3335 = -6 <--This is correct
Answer:
x = 1.0476
y = -2.6667
Hope this helps.