# SOLUTION: / = a fraction 1/5x + 1/3y = -8/15 1/5x + 4y = 34/5 solve the system by the substitution method.

Algebra ->  -> SOLUTION: / = a fraction 1/5x + 1/3y = -8/15 1/5x + 4y = 34/5 solve the system by the substitution method.      Log On

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 Click here to see ALL problems on Graphs Question 636594: / = a fraction 1/5x + 1/3y = -8/15 1/5x + 4y = 34/5 solve the system by the substitution method.Answer by ankor@dixie-net.com(16523)   (Show Source): You can put this solution on YOUR website!x + y = x + 4y = Get rid of the fractions, multiply the first equation by 15, the 2nd eq by 5 3x + 5y = -8 x + 20y = 34 Use the 2nd equation for substitution in the 1st equation x = -20y + 34 : 3(-20y+34) + 5y = -8 -60y + 102 + 5y = -8 -55y = -8 -102 -55y = -110 y = y = +2 : Replace y with 2 in x = -20y + 34 x = -20(2) + 34 x = -40 + 34 x = -6 : Solution x=-6, y=2 Check this in the equation: 3x + 5y = -8 3(-6) + 5(2) = -8 -18 + 10 = -8; confirms our solution