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the point of intersection is the solution of the two equations.
\n" ); document.write( "It is where the two equations cross and have the same x and y
\n" ); document.write( "You solve the equations by elimination or substitution.
\n" ); document.write( "In this case it is begging for substitution because one of the equations is already solved for y in terms of x
\n" ); document.write( "y=3x+1
\n" ); document.write( "so substitute 3x+1 in the other equation for y and solve that equation for y
\n" ); document.write( "x+3y=6
\n" ); document.write( "x+3*(3x+1)=6
\n" ); document.write( "x+9x+3=6
\n" ); document.write( "10x=3
\n" ); document.write( "x=3/10
\n" ); document.write( "y=3x+1
\n" ); document.write( "y=3(3/10)+1
\n" ); document.write( "y=9/10+1
\n" ); document.write( "y=1.9
\n" ); document.write( "x=.3=3/10
\n" ); document.write( "check
\n" ); document.write( "x+3y=6
\n" ); document.write( ".3+3*1.9=6
\n" ); document.write( ".3+5.7=6
\n" ); document.write( "6=6
\n" ); document.write( "ok
\n" ); document.write( "y=3x+1
\n" ); document.write( "1.9=3*.3+1
\n" ); document.write( "1.9=.9+1
\n" ); document.write( "1.9=1.9
\n" ); document.write( "ok
\n" ); document.write( "
| Solved by pluggable solver: Linear System solver (using determinant) |
| Solve: \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " Any system of equations: \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " has solution \n" ); document.write( " \n" ); document.write( " or \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " (x=0.3, y=1.9} \n" ); document.write( " |