# SOLUTION: may you help me solve 2x+3y=13 3x+5y=10

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 Question 554395: may you help me solve 2x+3y=13 3x+5y=10Answer by Maths68(1474)   (Show Source): You can put this solution on YOUR website!2x+3y=13 .........(1) 3x+5y=10 ..........(2) Multiply (1) by 3 and (2) by 2 6x+9y=39.........(3) 6x+10y=20........(4) Subtract (4) from (3) 6x+9y=39 -6x-10y=-20 ------------------ -y=19 Multiply above equation by (-1) (-1)(-y)=(-1)(19) y=-19 Put the value of y in (1) 2x+3y=13 .........(1) 2x+3(-19)=13 2x-57=13 2x=13+57 2x=70 2x/2=70/2 x=35 x,y=35, -19 Check ===== Put the values of x and y in (1) 2x+3y=13 .........(1) 2(35)+3(-19)=13 70-57=13 13=13 Put the values of x and y in (2) 3x+5y=10 ..........(2) 3(35)+5(-19)=10 105-95=10 10=10