X+y=5 4x+y=10 use addition to solve the linear system of equations. include all of your work in your final answer

x = 1
y = 6

Explanation:
The first given equation is:
-x + y = 5
Multiply this equation by -1, you will get:
x - y = -5 > I

The second given equation is:
4x + y = 10 > II

Add the two equations I and II as follows:
    x   - y = -5
+  4x + y = 10

    5x        = 5
Therefore:
x = 5/5
x = 1

Substitute with x in equation I to get y as follows:
x - y = -5
1 - y = -5
y = 1 + 5
y = 6

Hope this helps :)

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