SOLUTION: Solve the system graphically. 3x+2y=11 4x+3y=16

Algebra ->  Graphs -> SOLUTION: Solve the system graphically. 3x+2y=11 4x+3y=16      Log On


   



Question 54108: Solve the system graphically.
3x+2y=11
4x+3y=16

Answer by funmath(2933) About Me  (Show Source):
You can put this solution on YOUR website!
To do this accurately by hand you should use graph paper.
3x+2y=11
4x+3y=16
----------------------
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.
-----------------------------
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%28300%2C200%2C-10%2C10%2C-10%2C10%2C%28-3%2F2%29x%2B11%2F2%2C%28-4%2F3%29x%2B16%2F3%29
They intersect at (1,4), therfore the solution to the system is (1,4)
Happy Calculating!!!