document.write( "Question 453254: Solve using the substitution method. If the system has no solution or an infinite number of solutions, state this.
\n" ); document.write( "-x + 6y = 54
\n" ); document.write( "3x + y = 9\r
\n" ); document.write( "\n" ); document.write( "Solve using the elimination method. If the system has no solution or an infinite number of solutions, state this.
\n" ); document.write( "-2x - 8y = 22
\n" ); document.write( "-6x - y = 20
\n" ); document.write( "
\n" ); document.write( "

Algebra.Com's Answer #311464 by mananth(16946)\"\" \"About 
You can put this solution on YOUR website!
-x+6y=54 .............1
\n" ); document.write( "y=9-3x ---------2
\n" ); document.write( "y=9-3x
\n" ); document.write( "Plug the value of y in (1)
\n" ); document.write( "-1x+6(9-3x)=54
\n" ); document.write( "-1x+54 -18x=54
\n" ); document.write( "-1x-18x =54-54
\n" ); document.write( "-19x=0
\n" ); document.write( "x= 0
\n" ); document.write( "Plug the value of x in (1)
\n" ); document.write( "-x+6y=54
\n" ); document.write( "-1*0+6y=54
\n" ); document.write( "6y=54
\n" ); document.write( "6y=54
\n" ); document.write( "/6
\n" ); document.write( "y=9
\n" ); document.write( "------------------------------
\n" ); document.write( "-2x-8y= 22 .............1
\n" ); document.write( "-6x-y= 20 .............2
\n" ); document.write( "Eliminate y
\n" ); document.write( "multiply (1)by 1
\n" ); document.write( "Multiply (2) by -8
\n" ); document.write( "-2x-8y=22
\n" ); document.write( "48x++8y=-160
\n" ); document.write( "Add the two equations
\n" ); document.write( "46x=-138
\n" ); document.write( "/46
\n" ); document.write( "x=-3
\n" ); document.write( "plug value of x in (1)
\n" ); document.write( "-2x-8y= 22
\n" ); document.write( "6-8y=22
\n" ); document.write( "-8y=22-6
\n" ); document.write( "-8y=16
\n" ); document.write( "y=-2
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" );