document.write( "Question 54108: Solve the system graphically.
\n" ); document.write( "3x+2y=11
\n" ); document.write( "4x+3y=16 \n" ); document.write( "

Algebra.Com's Answer #36358 by funmath(2933) $\"\"$ $\"About$

You can put this solution on YOUR website!
To do this accurately by hand you should use graph paper.
\n" ); document.write( "3x+2y=11
\n" ); document.write( "4x+3y=16
\n" ); document.write( "----------------------
\n" ); document.write( "Let x=0 for the first equation:
\n" ); document.write( "3(0)+2y=11
\n" ); document.write( "2y=11
\n" ); document.write( "2y/2=11/2
\n" ); document.write( "y=5.5
\n" ); document.write( "Plot (0,5.5)
\n" ); document.write( "Let y=0 for the same equation:
\n" ); document.write( "3x+2(0)=11
\n" ); document.write( "3x=11
\n" ); document.write( "3x/3=11/3
\n" ); document.write( "x=3.6667
\n" ); document.write( "Plot (3.6667,0)
\n" ); document.write( "Connect the dots and form your line.
\n" ); document.write( "-----------------------------
\n" ); document.write( "Let x=0 for the second equation:
\n" ); document.write( "4(0)+3y=16
\n" ); document.write( "3y=16
\n" ); document.write( "3y/3=16/3
\n" ); document.write( "y=5.3333
\n" ); document.write( "Plot (0,5.333)
\n" ); document.write( "Let y=0 for that equation:
\n" ); document.write( "4x+3(0)=16
\n" ); document.write( "4x=16
\n" ); document.write( "4x/4=16/4
\n" ); document.write( "x=4
\n" ); document.write( "plot (4,0)
\n" ); document.write( "Connect the dots.
\n" ); document.write( "Take a look:
\n" ); document.write( " $\"graph%28300%2C200%2C-10%2C10%2C-10%2C10%2C%28-3%2F2%29x%2B11%2F2%2C%28-4%2F3%29x%2B16%2F3%29\"$
\n" ); document.write( "They intersect at (1,4), therfore the solution to the system is (1,4)
\n" ); document.write( "Happy Calculating!!! \n" ); document.write( "

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