document.write( "Question 563016: how do you do 2x-y=2
\n" ); document.write( "-5x+4y=-2 in elimination method \n" ); document.write( "

Algebra.Com's Answer #364742 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
(1) $\"+2x+-+y+=+2+\"$
\n" ); document.write( "(2) $\"+-5x+%2B+4y+=+-2+\"$
\n" ); document.write( "------------------
\n" ); document.write( "Multiply both sides of (1) by $\"+4+\"$
\n" ); document.write( "and add the equations
\n" ); document.write( "(1) $\"+8x+-+4y+=+8+\"$
\n" ); document.write( "(2) $\"+-5x+%2B+4y+=+-2+\"$
\n" ); document.write( " $\"+3x+=+6+\"$
\n" ); document.write( " $\"+x+=+2+\"$
\n" ); document.write( "Plug this back into (1) or (2)
\n" ); document.write( "(1) $\"+2%2A2+-+y+=+2+\"$
\n" ); document.write( "(1) $\"+4+-+y+=+2+\"$
\n" ); document.write( "(1) $\"+-y+=+2+-+4+\"$
\n" ); document.write( "(1) $\"+-y+=+-2+\"$
\n" ); document.write( "(1) $\"+y+=+2+\"$
\n" ); document.write( "The solution is (2,2)
\n" ); document.write( "Here's the plot of the 2 lines:
\n" ); document.write( " $\"+graph%28+400%2C+400%2C+-5%2C+5%2C+-5%2C+5%2C+2x+-+2%2C+%285%2F4%29%2Ax+-+2%2F5%29+\"$ \n" ); document.write( "

\n" );