document.write( "Question 147794: The solution to the system of equations:\r
\n" ); document.write( "\n" ); document.write( "x + 3y = 12
\n" ); document.write( "4x - y = -17
\n" ); document.write( " \n" ); document.write( "

Algebra.Com's Answer #108185 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
1. $\"x%2B3y=12\"$
\n" ); document.write( "2. $\"4x-y=-17\"$
\n" ); document.write( "You didn't specify a method.
\n" ); document.write( "We'll use substitution.
\n" ); document.write( "Solve eq.1 for x in terms of y.
\n" ); document.write( "1. $\"x%2B3y=12\"$
\n" ); document.write( " $\"x=12-3y\"$
\n" ); document.write( "Now substitute this into eq. 2 and solve for y.
\n" ); document.write( "2. $\"4x-y=-17\"$
\n" ); document.write( " $\"4%2812-3y%29-y=-17\"$
\n" ); document.write( " $\"48-12y-y=-17\"$
\n" ); document.write( " $\"48-13y=-17\"$
\n" ); document.write( " $\"-13y=-65\"$
\n" ); document.write( " $\"y=5\"$
\n" ); document.write( "From eq. 1,
\n" ); document.write( " $\"x=12-3y\"$
\n" ); document.write( " $\"x=12-3%285%29\"$
\n" ); document.write( " $\"x=12-15\"$
\n" ); document.write( " $\"x=-3\"$
\n" ); document.write( "The solution is x=-3 and y=5, also shown graphically.
\n" ); document.write( " $\"+graph%28+300%2C+300%2C+-5%2C+5%2C+-2%2C+8%2C+4x%2B17%2C+%2812-x%29%2F3%29+\"$ \n" ); document.write( "

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