SOLUTION: Solve by elimination 5x+5y=-13 7x-2y=19

Question 192045: Solve by elimination

5x+5y=-13
7x-2y=19
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 first equation by 2.

Distribute and multiply.

Multiply the both sides of the second equation by 5.

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 EVERY term by the LCD to clear any fractions.

Multiply.

Subtract from both sides.

Combine like terms on the right side.

Divide both sides by to isolate .

Reduce.

==========================================================

Answer:

So the solutions are and

which form the ordered pair

RELATED QUESTIONS
Solve the system by the elimination method. 5x+5y=-13... (answered by jim_thompson5910)

solve by elimination 5x + 5y = -13 7x - 2y =... (answered by Tobiasz,Alan3354)

Solve by elimination -4x-13= 5y 7x+5y= -19 (answered by Cromlix,FrankM)

Solve by elimination method: 5x+5y= -13 7x-3y=... (answered by sowmya,aswathytony)

Solve the system by the elimination method. 5x+5y= -13... (answered by Love math)

solve by elimination method 5x+5y=-11... (answered by user_dude2008)

Solve the system by elimination method 5x+5y=-13 7x+2y=19 I think I have x... (answered by Fombitz)

Solve by elimination method 5x + 5y = -13 7x - 2y = 17 Solve by the elimination... (answered by Alan3354)

solve by elimination method 5x+3y... (answered by JBarnum)