SOLUTION: solve by the system by the elimination method 5x+3y=-11 7x-2y=13 the solution is?

Question 414175: solve by the system by the elimination method
5x+3y=-11
7x-2y=13
the solution is?
Answer by algebrahouse.com(1659) (Show Source): You can put this solution on YOUR website!
solve by the system by the elimination method
5x + 3y = -11-----> 10x + 6y = -22 {multiplied top equation by 2}
7x - 2y = 13------> 21x - 6y = 39 {multiplied bottom equation by 3}

31x = 17 {added the two new equations together}
x = 17/31 {divided both sides by 31}

5x + 3y = -11 {top equation}
5(17/31) + 3y = -11 {substituted 17/31, in for x, into top equation}
85/31 + 3y = -11 {multiplied 5 by 17/31}
3y = -426/31 {subtracted 85/31 from both sides}
y = -142/31

x = 17/31 and y = -142/31
www.algebrahouse.com
RELATED QUESTIONS
Solve by the elimination method. 5x+2y= -11 7x-3y=19 What is the solution of the... (answered by Fombitz)

Solve the system by the elimination method. 5x+3y=-11 7x-2y=13 Thank you to... (answered by mollukutti)

Solve the system by the elimination method 5x+3y=-7... (answered by checkley77)

Solve the system by the elimination method. 5x + 3y = -11 7x - 2y =... (answered by mananth)

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

solve the system by the elimination method 5x+5y=11... (answered by jim_thompson5910)

Solve the system by the elimination method. What is the solution of the system? 5x + 3y (answered by Theo)

Could someone please show me how to solve the system by the elimination method? 5x + 3y... (answered by rwm,htmentor)

Could someone please show me how to solve the system by elimination method? 5x + 3y =... (answered by Alan3354)