document.write( "Question 523807: solve the following system of equations using the elimination method:
\n" ); document.write( "3x+2y=48
\n" ); document.write( "9x-8y=-24 \n" ); document.write( "

Algebra.Com's Answer #347455 by Maths68(1474) $\"\"$ $\"About$

You can put this solution on YOUR website!
3x+2y=48........(1)
\n" ); document.write( "9x-8y=-24........(2)\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Multiply (1) by 3 and subtract it from (2)\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "9x-8y=-24
\n" ); document.write( "-9x-6y=-144
\n" ); document.write( "-14y=-168
\n" ); document.write( "-14y/-14=-168/-14
\n" ); document.write( "y=12\r
\n" ); document.write( "\n" ); document.write( "Put the value of y in (1)
\n" ); document.write( "3x+2y=48
\n" ); document.write( "3x+2(12)=48
\n" ); document.write( "3x+24=48
\n" ); document.write( "3x=48-24
\n" ); document.write( "3x=24
\n" ); document.write( "3x/3=24/3
\n" ); document.write( "x=8\r
\n" ); document.write( "\n" ); document.write( "x,y=8,12\r
\n" ); document.write( "\n" ); document.write( "Check
\n" ); document.write( "=====
\n" ); document.write( "Put the values of x and y in (2)
\n" ); document.write( "9x-8y=-24
\n" ); document.write( "9(8)-8(12)=-24
\n" ); document.write( "72-96=-24
\n" ); document.write( "-24=-24 \n" ); document.write( "

\n" );