x-4y=8-x+4y-8=0 Help me!!

Question

I am having a very difficult time with these equations. Please show every step needed to figure this out. I have been doing this now for about 6 hours and STILL cannot figure it out! The problem should read
x-4y =8
-x +4y-8=0

Answer 1

x + 4y =8

-x + 4y =8

 

Apply elimination process

 

x = 8 - 4y

 

Substitute in second equation

 

-(8 - 4y) + 4y = 8

-8 + 8y = 8

8y + 16

y = 2

 

Substitute y = 2 in any of the given equations

 

x + 4(2) = 8

x + 8 = 8

x =0

:)

Answer 2

Following up on my comment, all the points on the line y=1/4 x are solutions to the original equation(s).

 

There are infinitely many solutions.

Answer 3

Hi Vicki;

x-4y=8-x+4y-8=0

First, let's notice the 8 and -8.  These cancel...

x-4y=-x+4y=0

The second equation is the negative of the first.

x-4y=0

-x+4y=0