SOLUTION: solve the following system of equations. x-2y=5 -3x+2y=7

Question 41173: solve the following system of equations.
x-2y=5
-3x+2y=7
Answer by PaulAllen65270(19) (Show Source): You can put this solution on YOUR website!
First thing you need to do is get both equations equal to the same thing such as x

Now for the other equation
add 3x to both sides so you will not divide by a negitive
subtract 7 from both sides
divide both sides by 3

Now that they both equal x they can be set equal to each other because
Multiply both sides by 3 to get rid of the fraction

Subtract 15 from both sides
Subtract 2y from both sides
Divide by 4

Now to find x you substitute the Y you just found in either of the 2 equations
substitute -5.5 for y

Subtract 11 from both sides

So your answer is
&
RELATED QUESTIONS
how do I solve the system of equations: x-2y=5... (answered by EMStelley)