SOLUTION: Solve the system by addition. 5x – 3y = 13 4x – 3y = 11

Algebra ->  Graphs -> SOLUTION: Solve the system by addition. 5x – 3y = 13 4x – 3y = 11       Log On


   

Question 108314: Solve the system by addition.
5x – 3y = 13
4x – 3y = 11
Answer by HyperBrain(694) About Me  (Show Source):
You can put this solution on YOUR website!
5x – 3y = 13
4x – 3y = 11

Multiplying 4x-3y=11 by -1,
-4x%2B3y=-11
Adding this to 5x+%96+3y+=+13,
~~~~~~~~~~~~~~~~~~~~~~~~~ 5x-3y=13
~~~~~~~~~~~~~~~~~~~~~~~~ -4x+3y=-11
___________________________________
~~~~~~~~~~~~~~~~~~~~~~~~~~ x =2

x=2

Solving for y,
5x-3y=13
5%282%29-3y=13
10-3y=13
10-10-3y=13
0-3y=3
-3y=3
y=-1
Thus, x=2%7D%7D+and+%7B%7B%7By=-1

Power up,
HyperBrain!