document.write( "Question 198493: how do you solve this system of equation \r
\n" ); document.write( "\n" ); document.write( " x+y=8
\n" ); document.write( " 51x+8y=193 \n" ); document.write( "

Algebra.Com's Answer #149020 by nerdybill(7384) $\"\"$ $\"About$

You can put this solution on YOUR website!
You can solve by one of three methods:
\n" ); document.write( "Substitution, addition or matrix.
\n" ); document.write( ".
\n" ); document.write( "I'll apply the \"addition method\":
\n" ); document.write( " x+ y= 8
\n" ); document.write( "51x+8y=193
\n" ); document.write( ".
\n" ); document.write( "Multiply first equation by -8 to get:
\n" ); document.write( "-8x-8y=-64
\n" ); document.write( "51x+8y=193
\n" ); document.write( ".
\n" ); document.write( "Add the two equations together:
\n" ); document.write( "-8x-8y=-64
\n" ); document.write( "51x+8y=193
\n" ); document.write( "-----------
\n" ); document.write( "43x = 129
\n" ); document.write( "x = 129/43
\n" ); document.write( "x = 3
\n" ); document.write( ".
\n" ); document.write( "To find y, substitute the above into:
\n" ); document.write( " x+ y= 8
\n" ); document.write( " 3+ y= 8
\n" ); document.write( " y = 5
\n" ); document.write( ".
\n" ); document.write( "Our solution:
\n" ); document.write( "x = 3
\n" ); document.write( "y = 5 \n" ); document.write( "

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