Systems of Equations

x  =  2y - 5

5x - 6y  =  7        Since  x = 2y - 5 , we can substitute  2y - 5  in for  x .

5(2y - 5) - 6y  =  7           Distribute  5  to the terms in partenthesees.

10y - 25 - 6y  =  7            Add  25  to both sides of the equation.

10y - 6y  =  7 + 25           Combine like terms.

4y  =  32        Divide both sides by  4 .

y  =  8            Plug this value for  y  into the first equation to find  x .

x  =  2(8) - 5

x  =  16 - 5

x  =  11