SOLUTION: Solve by elimination method: -2x+2y=-1 x-3y=-3

Question 677171: Solve by elimination method:
-2x+2y=-1
x-3y=-3
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!

Start with the given system of equations:

Multiply the both sides of the second equation by 2.

Distribute and multiply.

So we have the new system of equations:

Now add the equations together. You can do this by simply adding the two left sides and the two right sides separately like this:

Group like terms.

Combine like terms.

Simplify.

Divide both sides by to isolate .

Reduce.

------------------------------------------------------------------

Now go back to the first equation.

Plug in .

Multiply.

Multiply both sides by the LCD to clear any fractions.

Distribute and multiply.

Subtract from both sides.

Combine like terms on the right side.

Divide both sides by to isolate .

Reduce.

So the solutions are and .

Which form the ordered pair

.

This means that the system is consistent and independent.

RELATED QUESTIONS
solve by using elimination method x+2y=4 1/2x +... (answered by jim_thompson5910)

solve the system by the elimination method x+3y=-4... (answered by stanbon)

solve by elimination 2x+3y=8... (answered by MathLover1)

solve the linear equation by using the elimination method. x + 2y=2 1/2x +... (answered by vleith,jim_thompson5910)

1.Solve by substitution or elimination method: 3x � 2y = 26 -7x + 3y = -49... (answered by Edwin McCravy)

Solve the system by the method of elimination. x-2y+3z=11 2x-z=3... (answered by Edwin McCravy)

solve the linear system using Gaussian elimination method : 2x-3y-6z=-3 ,... (answered by tommyt3rd)

solve each system by the elimination method 1)3x+2y=10 2x+y=7 2)3x-2y=7 2x-y=8 (answered by jojo14344)

Solve by using elimination method. -4x-2y=3 2x+y=1 separate problem: 2x+y=1... (answered by jim_thompson5910)