# SOLUTION: Solve using the substitution method. If the system has no solution or an infinite number of solutions, state this. -x + 6y = 54 3x + y = 9 Solve using the elimination method.

Algebra ->  Algebra  -> Linear-equations -> SOLUTION: Solve using the substitution method. If the system has no solution or an infinite number of solutions, state this. -x + 6y = 54 3x + y = 9 Solve using the elimination method.       Log On

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 Algebra: Linear Equations, Graphs, Slope Solvers Lessons Answers archive Quiz In Depth

 Click here to see ALL problems on Linear-equations Question 453254: Solve using the substitution method. If the system has no solution or an infinite number of solutions, state this. -x + 6y = 54 3x + y = 9 Solve using the elimination method. If the system has no solution or an infinite number of solutions, state this. -2x - 8y = 22 -6x - y = 20 Answer by mananth(12270)   (Show Source): You can put this solution on YOUR website!-x+6y=54 .............1 y=9-3x ---------2 y=9-3x Plug the value of y in (1) -1x+6(9-3x)=54 -1x+54 -18x=54 -1x-18x =54-54 -19x=0 x= 0 Plug the value of x in (1) -x+6y=54 -1*0+6y=54 6y=54 6y=54 /6 y=9 ------------------------------ -2x-8y= 22 .............1 -6x-y= 20 .............2 Eliminate y multiply (1)by 1 Multiply (2) by -8 -2x-8y=22 48x++8y=-160 Add the two equations 46x=-138 /46 x=-3 plug value of x in (1) -2x-8y= 22 6-8y=22 -8y=22-6 -8y=16 y=-2