SOLUTION: Hello! I am trying to solve the system by substitution, this is what I have so far: 5x - 2y = -5 y - 5x = 3 -2y = -5x - 5 y = 5x + 3 -y = 2 5(2) - 2y = -5 10 - 2y =

Algebra.Com
Question 17282: Hello! I am trying to solve the system by substitution, this is what I have so far:
5x - 2y = -5
y - 5x = 3
-2y = -5x - 5
y = 5x + 3
-y = 2
5(2) - 2y = -5
10 - 2y = -5
2y = -10 - 5
2y = -5
If I ended this way it would give me a fraction, can a fraction be used with this? Your help is greatly appreciated! :)

Answer by rapaljer(4671)   (Show Source): You can put this solution on YOUR website!
I think I see an error.

You wrote:
5x - 2y = -5
y - 5x = 3
-2y = -5x - 5
y = 5x + 3
-y = 2

The last line above should be -y = -2, so y = 2.

Then in your next line, I think you made another mistake by substituting the value of y in place of the x. That's a common error!

Now I think it should be this way to finish:
5x- 2y = -5
5x - 2(2) = -5
5x - 4 = -5
5x = -1
x = -1/5

Check: y -5x= 3
2 -5(-1/5)= 3
2+1= 3
It checks!

In answer to your question, YES a fraction CAN be use, and in this case it MUST be used.

R^2 at SCC

RELATED QUESTIONS

How do I solve this equation by substitution? 5x-2y=-5... (answered by tutorcecilia)
How do I solve the following system by substitution 5x-2y=-5 y-5x=3 The... (answered by Earlsdon)
5x-2y=-5 y-5x=3 solve by... (answered by checkley71)
Solve by substitution - 5x - 2y = -5 y - 5x =... (answered by jcmtnez)
SOLVE BY SUBSTITUTION 5X-2Y=-5... (answered by jim_thompson5910)
. Solve the following system by substitution. 5x – 2y = -5 y – 5x = 3 (answered by Cintchr)
solve the following system by substitution. 5x-2y= -5 y-5x = 3 (answered by checkley71)
Solve the following system by substitution 5x-2y=-5... (answered by jainenderkapoor)
Solve the following system by substitution 5x-2y=-5 y-5x=3 (answered by ankor@dixie-net.com)