SOLUTION: Find the values of x and y that solve the following system of equations. -5x+3y=8 -9x+5y=14

Algebra ->  Coordinate Systems and Linear Equations -> SOLUTION: Find the values of x and y that solve the following system of equations. -5x+3y=8 -9x+5y=14      Log On


   

Question 175991: Find the values of x and y that solve the following system of equations.
-5x+3y=8
-9x+5y=14
Answer by tran3209(100) About Me  (Show Source):
You can put this solution on YOUR website!
First Step.
-Isolate one variable for either equation.
-5x%2B3y=8
3y=5x%2B8 add 5x to both sides
y=%285x%2B8%29%2F3 divide both sides by 3
Second Step.
-Plug in isolated variable into second equation.
-9x+%2B+5%285x%2B8%29%2F3+=+14
-9x+%2B+%2825x+%2B+40%29%2F3+=+14 "foil" or multiply the second term
%28-27x%2B25x%2B40%29%2F3=14+ use common denomenator of 3. multiply -9x%2A3
%28-2x%2B40%29%2F3+=+14+ combine like terms and simplify
-2x%2B40=42
-2x+=+42-40 subtract 40 from both sides
-2x+=+2
x+=+-2%2F2 divide both sides by -2 and simplify
x+=+1+