Question 54108
To do this accurately by hand you should use graph paper.
3x+2y=11
4x+3y=16
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Let x=0 for the first equation:
3(0)+2y=11
2y=11
2y/2=11/2
y=5.5
Plot (0,5.5)
Let y=0 for the same equation:
3x+2(0)=11
3x=11
3x/3=11/3
x=3.6667
Plot (3.6667,0)
Connect the dots and form your line.
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Let x=0 for the second equation:
4(0)+3y=16
3y=16
3y/3=16/3
y=5.3333
Plot (0,5.333)
Let y=0 for that equation:
4x+3(0)=16
4x=16
4x/4=16/4
x=4
plot (4,0)
Connect the dots.  
Take a look:
{{{graph(300,200,-10,10,-10,10,(-3/2)x+11/2,(-4/3)x+16/3)}}}
They intersect at (1,4), therfore the solution to the system is (1,4) 
Happy Calculating!!!