document.write( "Question 102274: Solve the system by the addition method:\r
\n" ); document.write( "\n" ); document.write( "Eq 1 states: 3x = 3 + 2y
\n" ); document.write( "Eq 2 states: -4/3x + y = 1/3 \n" ); document.write( "

Algebra.Com's Answer #74327 by stanbon(75887) $\"\"$ $\"About$

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Solve the system by the addition method:\r
\n" ); document.write( "\n" ); document.write( "Eq 1 states: 3x = 3 + 2y
\n" ); document.write( "Eq 2 states: (-4/3)x + y = 1/3
\n" ); document.write( "------------------
\n" ); document.write( "Rearrange Eq 1 and multiply thru Eq 2 by 3 to get:
\n" ); document.write( "#3: 3x-2y=3
\n" ); document.write( "#4: -4x+3y=1
\n" ); document.write( "--------------
\n" ); document.write( "Multiply #3 by 3 and #4 by 2 to get:
\n" ); document.write( "#5: 9x-6y=9
\n" ); document.write( "#6:-8x+6y=2
\n" ); document.write( "-------------
\n" ); document.write( "Add to get:
\n" ); document.write( "x = 11
\n" ); document.write( "---------
\n" ); document.write( "Substitute into #3 to solve for y:
\n" ); document.write( "3*11-2y=3
\n" ); document.write( "2y = 30
\n" ); document.write( "y = 15
\n" ); document.write( "------------
\n" ); document.write( "Check the answer in -4x+3y=1
\n" ); document.write( "-4*11 + 3*15 = 1
\n" ); document.write( "-44+45 = 1
\n" ); document.write( "1=1
\n" ); document.write( "============
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H. \n" ); document.write( "

\n" );