# SOLUTION: Can you solve this system of equations by using multiplication with the addition method? x/2+y/5=13/10 2x-3y=-10

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 Question 140984This question is from textbook Prentice Hall Algebra 1 : Can you solve this system of equations by using multiplication with the addition method? x/2+y/5=13/10 2x-3y=-10This question is from textbook Prentice Hall Algebra 1 Answer by stanbon(57967)   (Show Source): You can put this solution on YOUR website!x/2+y/5=13/10 2x-3y=-10 --------------- Multiply thru the 1st equation by 10. 5x+2y = 13 2x-3y =-10 ------------------- Multiply thru the 1st equation by 3 and the 2nd equation by 2 to get: 15x + 6y = 39 4x - 6y = -20 --------------------- Add to get: 19x = 19 x = 1 --------------------- Substitute into 2x-3y = -10 to solve for "y": 2*1 - 3y = -10 -3y = -12 y = 4 ----------------- Solution: x=1; y = 4 ========================== Cheers, Stan H.