document.write( "Question 171950: What is the answer to
\n" ); document.write( "x=y-7
\n" ); document.write( "2x-5y=-2\r
\n" ); document.write( "\n" ); document.write( "AND I also need to know
\n" ); document.write( "-3x+2y=10
\n" ); document.write( "-2x-y=-5
\n" ); document.write( " \n" ); document.write( "

Algebra.Com's Answer #127225 by jojo14344(1513) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"x=y-7\"$ , EQN 1 -------> $\"y=x%2B7\"$
\n" ); document.write( " $\"2x-5y=-2\"$ , EQN 2 -----> $\"%282x%2B2%29%2F5=y\"$
\n" ); document.write( "Subst. EQN 1 in EQN 2:
\n" ); document.write( " $\"2%28y-7%29-5y=-2\"$
\n" ); document.write( " $\"2y-14-5y=-2\"$
\n" ); document.write( " $\"-3y=-2%2B14=12\"$ --------> $\"cross%28-3%29y%2Fcross%28-3%29=cross%2812%294%2Fcross%28-3%291\"$
\n" ); document.write( " $\"highlight%28y=-4%29\"$
\n" ); document.write( "subst. in EQN 1:
\n" ); document.write( " $\"x=-4-7=highlight%28-11%29\"$
\n" ); document.write( "The lines intersect thru these points(-11,-4) as shown:
\n" ); document.write( "

---> RED Line, EQN 1; GREEN Line, EQN 2
\n" ); document.write( ".
\n" ); document.write( " $\"-3x%2B2y=10\"$ , EQN 3 -------> $\"y=%283x%2B10%29%2F2=%283%2F2%29x%2B%2810%2F2%29\"$
\n" ); document.write( " $\"-2x-y=-5\"$ , EQN 4 --------> $\"y=-2x%2B5\"$
\n" ); document.write( "We equate the 2 eqn's:
\n" ); document.write( " $\"-2x%2B5=%283%2F2%29x%2B5\"$
\n" ); document.write( " $\"%283%2F2%29x%2B2x=5-5\"$
\n" ); document.write( " $\"%283%2B6%29x%2F2=0\"$ --> $\"highlight%28x=0%29\"$
\n" ); document.write( "Subst $\"x=0\"$ in EQN 4:
\n" ); document.write( " $\"-2%280%29-y=-5\"$ ------> $\"highlight%28y=5%29\"$
\n" ); document.write( "Therefore, these lines intersect at points(0,5), as we see:
\n" ); document.write( "

\n" ); document.write( "-----> RED Line, EQN 3; GREEN Line, EQN 4
\n" ); document.write( "Thank you,
\n" ); document.write( "Jojo\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

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