document.write( "Question 885733: 2x+3y=12;5x-3y=9(by substituion method)
\n" ); document.write( "
\n" ); document.write( "

Algebra.Com's Answer #535469 by kadash12(6)\"\" \"About 
You can put this solution on YOUR website!
2x+3y=12;5x-3y=9
\n" ); document.write( "Start by solving one function equal to y. We'll use 2x+3y=12 this time.
\n" ); document.write( "2x+3y=12
\n" ); document.write( "-2x -2x
\n" ); document.write( "3y=-2x+12
\n" ); document.write( "---------= y=-2/3x+4
\n" ); document.write( "3
\n" ); document.write( "Now since y=-2/3x+4 then 5x-3y=9
\n" ); document.write( "^--this y would also equal to -2/3x+4 so sub in.
\n" ); document.write( "5x-3(-2/3x+4)=9 Distribute
\n" ); document.write( "5x+2x-12=9 Collect like terms
\n" ); document.write( "7x=21 Divide
\n" ); document.write( "x=3 Now to get y you sub in 3 to x.
\n" ); document.write( "2(3)+3y=12
\n" ); document.write( "6+3y=12 collect like terms.
\n" ); document.write( "3y=6 divide
\n" ); document.write( "y=2
\n" ); document.write( "
\n" );