Question

-x+y=5 4x+y=10 Use addition to solve the linear system of equations. Include all of your work in your final answer

Answer 1

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 :)