SOLUTION: 3x-2y=2 5x-5y=10 x=? y=? Not sure where to start at.

Algebra ->  Coordinate Systems and Linear Equations -> SOLUTION: 3x-2y=2 5x-5y=10 x=? y=? Not sure where to start at.      Log On


   



Question 273702: 3x-2y=2
5x-5y=10
x=?
y=?
Not sure where to start at.

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!

Eq. 1:

Eq. 2:

Substitution Method

Multiply both sides of equation 2 by :

Eq. 2a:

Solve for :

Eq. 2b:

Substitute the expression in for in equation 1:

Eq. 1a:

Solve for and when you have a value for , substitute that value into either of the original equations and solve for .

Elimination Method

Multiply equation 1 by 5 and equation 2 by -2:

Eq. 1a:

Eq. 2a:

Add the two equations:

Eq. 1a + Eq. 2a:



Solve for and when you have a value for , substitute that value into either of the original equations and solve for .

Substitution and Elimination are two ways to do it. Since the coordinates of the ordered pair in the solution set are integers, you could also do this one by graphing. And then there is always Cramer's Rule...

John