# SOLUTION: solve by the substitution method. 3x+8y=-5 x=3-5y the solution is? or there is no solution?

Algebra ->  Algebra  -> Equations -> SOLUTION: solve by the substitution method. 3x+8y=-5 x=3-5y the solution is? or there is no solution?      Log On

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 Click here to see ALL problems on Equations Question 421503: solve by the substitution method. 3x+8y=-5 x=3-5y the solution is? or there is no solution?Answer by ankor@dixie-net.com(15657)   (Show Source): You can put this solution on YOUR website!solve by the substitution method. 3x + 8y = -5 x = (3-5y); use this for substitution in the 1st equation : Replace x with (3-5y) 3(3-5y) + 8y = -5 ; Multiply what's inside the brackets by 3, 9 - 15y + 8y = -5 ; Subtract 9 from both sides -15y + 8y = -5 - 9 -7y = -14 : divide both sides by -7 y = y = +2 ; Find x using the 2nd equation, replace y with 2 x = 3 - 5(2) x = 3 - 10 x = -7 ; : Check solution using the 1st equation 3x + 8y = -5 replace x with -7, y with 2 3(-7) + 8(2) = -21 + 16 = -5; confirms our solutions of x=-7, y=2