SOLUTION: What would X and Y equal if: -5x + 2y = -5 -5x + y = 0 I think y= 0 And x= 1 But im not sure if thats right or not. Any help please?

Algebra ->  Linear-equations -> SOLUTION: What would X and Y equal if: -5x + 2y = -5 -5x + y = 0 I think y= 0 And x= 1 But im not sure if thats right or not. Any help please?      Log On


   

Question 149360: What would X and Y equal if:
-5x + 2y = -5
-5x + y = 0
I think y= 0
And x= 1
But im not sure if thats right or not.
Any help please?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
The easiest way to check if your answer is correct is to plug it back into the original equations.
1.-5x%2B2y=-5
-5%281%29%2B2%280%29=-5
-5=-5
True, so far so good.
2.-5x%2By=0
-5%281%29%2B0=0
-5=0
False.
Your answers led to a false statement.
Therefore, it's not the correct answer.
.
.
.
.
You can solve this system of linear equations in several ways.
The quickest way is to subtract equation 2 from equation 1.
This gets rid of the x term and leaves only y terms.
1.-5x%2B2y=-5
2.-5x%2By=0
-5x%2B2y-%28-5x%2By%29=-5-0
-5x%2B5x%2B2y-y=-5
highlight%28y=-5%29
Now substitute this value for y in either 1 or 2 to solve for x.
2.-5x%2By=0
-5x-5=0
-5x=5
highlight%28x=-1%29
Again, check your answer to verify it's correct using the original equations.
1.-5x%2B2y=-5
-5%28-1%29%2B2%28-5%29=-5
5-10=-5
-5=-5
True.
2.-5x%2By=0
-5%28-1%29%2B-5=0
5-5=0
0=0
True.
Your answer led to true statements.
It's a correct answer.