document.write( "Question 79505: 2x+y+4=0
\n" ); document.write( "x-y+2=0\r
\n" ); document.write( "\n" ); document.write( "Note to student: i have changed your equations by adding =0 to each one. There is no other way to have a linear equation - in an equation there is always an equal sign. \n" ); document.write( "

Algebra.Com's Answer #57104 by erimir(14) $\"\"$ $\"About$

You can put this solution on YOUR website!
Here is an answer to your system of linear equations, using the insertion method.
\n" ); document.write( "Eq. 1: $\"2x%2By%2B4=0\"$
\n" ); document.write( "Eq. 2: $\"x-y%2B2=0\"$ \r
\n" ); document.write( "\n" ); document.write( "Manipulating eq. 2 to only have x on the left hand side of the equal sign gives:
\n" ); document.write( " $\"x=y-2\"$ \r
\n" ); document.write( "\n" ); document.write( "Then inserting this into eq. 1:
\n" ); document.write( " $\"2x%2By%2B4=0\"$
\n" ); document.write( " $\"2%28y-2%29%2By%2B4=0\"$
\n" ); document.write( " $\"2y-4%2By%2B4=0\"$
\n" ); document.write( " $\"3y-4%2B4=0\"$
\n" ); document.write( " $\"3y=0\"$
\n" ); document.write( " $\"y=0\"$ \r
\n" ); document.write( "\n" ); document.write( "We now know that y = 0, and we can now re-insert this into the manipulated eq. 2 to get x:
\n" ); document.write( " $\"x=y-2\"$
\n" ); document.write( " $\"x=0-2\"$
\n" ); document.write( " $\"x=-2\"$ \r
\n" ); document.write( "\n" ); document.write( "y=0 and x=-2. If you control the answer by inserting the numbers into the equations you will see that it is correct. \n" ); document.write( "

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