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

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

Answer by dr8(3) About Me  (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. 2x%2B3%285x-13%29=12 = 2x%2B15x-39=12. 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 17x=51. Divide 17 on both sides to get x, and you should get x=3. To find y, you would plug x in the second equation. 5%283%29-y=13 = 15-y=13. 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 y=2. So x=3 and y=2. I hope this helped! Good luck!