document.write( "Question 165026: 2x+3y=13
\n" ); document.write( "4x-2y=2
\n" ); document.write( "plot the simultaneous equations on a graph determine x and y \n" ); document.write( "

Algebra.Com's Answer #121637 by jojo14344(1513) $\"\"$ $\"About$

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\n" ); document.write( "Working eqn: POINT SLOPE FORM: $\"highlight%28y=mx%2Bb%29\"$
\n" ); document.write( "1st eqn: $\"2x%2B3y=13\"$
\n" ); document.write( "simplifying,
\n" ); document.write( " $\"3y=13-2x\"$ , divide both terms by 3
\n" ); document.write( " $\"y=%2813-2x%29%2F3\"$
\n" ); document.write( " $\"y=%2813%2F3%29-%282x%2F3%29\"$
\n" ); document.write( "We see f(x)=0;
\n" ); document.write( " $\"y=13%2F2\"$ , (0,13/3)
\n" ); document.write( "For x:
\n" ); document.write( " $\"2x%2B3y=13\"$
\n" ); document.write( " $\"2x=13-3y\"$ divide both terms by 2
\n" ); document.write( " $\"x=%2813-3y%29%2F2\"$
\n" ); document.write( " $\"x=%2813%2F2%29-%283y%2F2%29\"$
\n" ); document.write( "We see f(y)=0;
\n" ); document.write( " $\"x=13%2F2\"$ , (13/2,0)
\n" ); document.write( "See graph
\n" ); document.write( "-- see red line (13/2,13/3)
\n" ); document.write( "2nd eqn:
\n" ); document.write( " $\"4x-2y=2\"$
\n" ); document.write( "simplifying,
\n" ); document.write( " $\"2y=4x-2\"$ divide both terms by 2
\n" ); document.write( " $\"2y%2F2=4x%2F2-2%2F2\"$ --> $\"cross%282%29y%2Fcross%282%29=cross%284%29x%2Fcross%282%29-%28cross%282%29%2Fcross%282%29%29\"$
\n" ); document.write( " $\"y=2x-1\"$
\n" ); document.write( "We see f(x)=0;
\n" ); document.write( " $\"y=-1\"$ , (0,-1)
\n" ); document.write( "We see f(y)=0;
\n" ); document.write( " $\"y=2x-1\"$ ---> $\"y%2B1=2x\"$ --> $\"y%2F2%2B1%2F2=cross%282%29x%2Fcross%282%29\"$
\n" ); document.write( " $\"x=y%2F2%2B1%2F2=0%2F2%2B1%2F2\"$
\n" ); document.write( " $\"x=1%2F2\"$ , (1/2,0)
\n" ); document.write( "See graph below,
\n" ); document.write( " see line (1/2,-1)
\n" ); document.write( "Thank you,
\n" ); document.write( "jojo \n" ); document.write( "

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