Expert: Bobby Soltani - 9/14/2004

Question
1.find an algebraic solution to the following system of linear equations- x+2y=1
                           2x-3y=3  

Answer
Hi Josh,

Sorry for the delay.  I've been really busy lately.  Here are the steps.

Solve one of the equations for x.

x+2y=1
x = 1 - 2y

plug this value of x into the second equation to get an equation that just has y

2(1 - 2y) - 3y = 3

Solve this equation for y

2 - 4y -3y = 3
2 - 7y = 3
-7y = 1
y = -1/7

plug this value for y into the first equation to solve for x.

x+2(-1/7)=1
x - 2/7 = 1
x = 9/7

That's it.  Good luck.

Bobby