document.write( "Question 329747: Use the Substitution method to solve the system of equations. x + y = -4 x - y = 2 \n" ); document.write( "

Algebra.Com's Answer #237251 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
ELimination:
\n" ); document.write( "Add the equations together.
\n" ); document.write( " $\"x+%2B+y+%2B+x+-+y+=-4%2B+2\"$
\n" ); document.write( " $\"2x=-2\"$
\n" ); document.write( " $\"highlight%28x=-1%29\"$
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( "Then use either equation to solve for y.
\n" ); document.write( " $\"-1%2By=-4\"$
\n" ); document.write( " $\"highlight%28y=-3%29\"$
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( "Substitution:
\n" ); document.write( "From eq. 1,
\n" ); document.write( " $\"y=-x-4\"$
\n" ); document.write( "Substitute into eq. 2,
\n" ); document.write( " $\"x-%28-x-4%29=2\"$
\n" ); document.write( " $\"x%2Bx%2B4=2\"$
\n" ); document.write( " $\"2x=-2\"$
\n" ); document.write( " $\"highlight_green%28x=-1%29\"$
\n" ); document.write( "Then from above,
\n" ); document.write( " $\"y=1-4\"$
\n" ); document.write( " $\"highlight_green%28y=-3%29\"$ \n" ); document.write( "

\n" );