SOLUTION: 2x+3y=12 5x-y=13 Solve by substitution.

Algebra.Com
Question 728706: 2x+3y=12
5x-y=13
Solve by substitution.

Answer by dr8(3)   (Show Source): You can put this solution on YOUR website!
First you would take the second equation and move the 5x to the right side by subtracting 5x on both sides. You should now have -y=-5x+13. To make y positive, we need to divide this equation by -1. You should now have y=5x-13. Substitute y=5x-13 in the first equation. = . Add the x values and you have 17x-39=12. Now we need to move the 39 to the right side by adding 39 on both sides. Now you should have . Divide 17 on both sides to get x, and you should get . To find y, you would plug x in the second equation. = . Then move the 15 by subtracting it on both sides to get y by it self. You should now have -y = -2. To find y, divide both sides by -2, and you should get . So x=3 and y=2. I hope this helped! Good luck!
RELATED QUESTIONS

Solve the system by substitution. x + y = 12 y = 2x Solve the system by... (answered by malakumar_kos@yahoo.com)
Please help me with the following: Solve by substitution x + y = 12 (answered by johnnico6426)
Solve by elimination or substitution method 5x-2y = 23 2x+3y =13 (answered by stanbon)
Solve the equations by substitution. 5x - 6 = y 2x - 3y = 4 x = ? y = ? (answered by checkley77)
Solve the system by substitution. 5x + 3y = –19 y = –2x – 8 (answered by jim_thompson5910)
solve using substitution 2x + 7y = 12 and 5x - 4y =... (answered by vleith)
Solve the system by substitution 5x+2y=-15... (answered by funmath)
Solve the system by addition -5x+2y=10 x-3y=11 Solve by substitution 2x+2y=0... (answered by checkley71)
x-3y=7 2x-5y=13 solve by... (answered by jim_thompson5910)