Question

Graph each equation. Determine the solution of the system of equations.
x+4y=16
5x+4y=0

Answer 1

To determine the solution:
Subtract the equations

1.
x+4y=16
- 5x+4y=0

2.
x-5x+4y-4y=16-0

3. Combine like terms
-4x=16

4. x=16/-4

5. x= -4

Replace the x to find the value of y. (you can choose which equation to do it with)

1. x+4y=16
2. (-4)+4y=16
3. 4y=20
4. y=20/4
5. y=5

x=-4, y=5