![\"\"](\"/images/stars/stars-10.gif\")
You can put this solution on YOUR website!
3y=3x-6
\n" ); document.write( "9=8x-9y
\n" ); document.write( "
\n" );
document.write( "In standard form,
\n" );
document.write( "3y=3x-6...[1]
\n" );
document.write( "9y=8x-9...[2]
\n" );
document.write( "
\n" );
document.write( "Plot the first line on a graph,and then plot the second.The point of intersection of the two straight lines is the unique solution of the two equations.
\n" );
document.write( "
\n" );
document.write( "Note:if you solved these two equations using algebra,you would get:
\n" );
document.write( "(x=9, y=7}
\n" );
document.write( "
However,as you are graphing these two points,we get-
\n" );
document.write( "[1st line]{Simplifying:y=x-2}
\n" );
document.write( "x,y
\n" );
document.write( "7,5
\n" );
document.write( "9,7
\n" );
document.write( "11,9
\n" );
document.write( "
\n" );
document.write( "[2nd line]{Simplifying:y=(9-8x)/-9}
\n" );
document.write( "x,y
\n" );
document.write( "7,47/9
\n" );
document.write( "9,7
\n" );
document.write( "11,79/9
\n" );
document.write( "
\n" );
document.write( "Since this might not be all that clear,I am including the graph as well.
\n" );
document.write( "It should look something like this:
\n" );
document.write( "
\n" );
document.write( "
\n" );
document.write( "As you can see from the above graph,the point of intersection is (9,7) and hence this is the solution for the given pair of equations.
Prabhat.
\n" ); document.write( "