document.write( "Question 1158299: SOlve each linear system by graphing the functions and finding their point(s) of intersection. State if they systems are consistent or inconsistent.
\n" ); document.write( "2x-3y=-2
\n" ); document.write( "4x+y=24
\n" ); document.write( " \n" ); document.write( "

Algebra.Com's Answer #781209 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"+2x+-+3y+=+-2+\"$
\n" ); document.write( " $\"+4x+%2B+y+=+24+\"$
\n" ); document.write( "-----------------------
\n" ); document.write( " $\"+3y+=+2x+%2B+2+\"$
\n" ); document.write( " $\"+y+=+%28+2%2F3+%29%2Ax+%2B+2%2F3+\"$
\n" ); document.write( "-----------------------------
\n" ); document.write( " $\"+4x+%2B+y+=+24+\"$
\n" ); document.write( " $\"+y+=+-4x+%2B+24+\"$
\n" ); document.write( "-----------------------------
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\n" ); document.write( "Find the intersection:
\n" ); document.write( "(1) $\"+2x+-+3y+=+-2+\"$
\n" ); document.write( "(2) $\"+4x+%2B+y+=+24+\"$
\n" ); document.write( "Multiply both sides of (1) by $\"+2+\"$
\n" ); document.write( "and subtract (1) from (2)
\n" ); document.write( "(2) $\"+4x+%2B+y+=+24+\"$
\n" ); document.write( "(1) $\"+-4x+%2B+6y+=+4+\"$
\n" ); document.write( "--------------------------
\n" ); document.write( " $\"+7y+=+28+\"$
\n" ); document.write( " $\"+y+=+4+\"$
\n" ); document.write( "and
\n" ); document.write( "(1) $\"+2x+-+3%2A4+=+-2+\"$
\n" ); document.write( "(1) $\"+2x+-+12+=+-2+\"$
\n" ); document.write( "(1) $\"+2x+=+10+\"$
\n" ); document.write( "(1) $\"+x+=+5+\"$
\n" ); document.write( "---------------------
\n" ); document.write( "The intersection is at ( 5,4 )
\n" ); document.write( "This seems to agree with the graph\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

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