SOLUTION: Can someone help me solve this? Solve the system by the elimination method. 8x-5y=32 4x+5y=4

Algebra ->  Coordinate Systems and Linear Equations -> SOLUTION: Can someone help me solve this? Solve the system by the elimination method. 8x-5y=32 4x+5y=4      Log On


   



Question 789653: Can someone help me solve this?
Solve the system by the elimination method.
8x-5y=32
4x+5y=4

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
Solve the system by the elimination method.
8x-5y=32....eq.1
4x%2B5y=4.....eq.2
__________________.........as you can see from eq.1 and eq.2 you have -5y and 5y; if you add them, you will get 0, so you can add both eq. and eliminate y
8x-5y%2B4x%2B5y=32%2B4
12x-cross%285y%29+%2Bcross%285y%29=36
12x+=36
+x+=36%2F12
+highlight%28x+=3%29....plug it in eq.1 or eq.2 and find y
4x%2B5y=4.....eq.2
4%2A3%2B5y=4
12%2B5y=4
+5y=4-12

+5y=-8
+y=-8%2F5
highlight%28y=-1.6%29