Solve system of linear equations by elimination. 3x-y=0
-3x+5y=0

Hey there!

When solving systems of equations by elimination, what we do is we remove one variable by combining the equations and then we solve for one variable.

How does this work?

Well, let's say we have 2x in one equation and 2x in the other equation. If we combine the equations, it will simply be 4x! What we need to do is multiply one of the equations by -1, which will make one of the 2x's and -2x. Then, if we combine the two equations, our x's will be cancelled out and we can solve for y.

In our case, we don't have to manipulate any of the equations because we already have 3x in one equation and -3x in another, so we will just add the two equations.

3x-y=0

+

-3x+5y=0

=

4y=0

y=0

Now we plug this into one of the original equations to find x.

3x-0=0

3x=0

x=0

Therefore, our solution is x=0 and y=0 (0,0).

I hope this helps!

x = 1

Step-by-step explanation:

-x + (-1) = -3x-(-5)

-3x-(-1)=-3x-(-1)

-4x=-4

-4x/-4 and -4/-4 equals x = 1

positive 1