SOLUTION: Hello, sovle graphically x+y+2=0 and 3x-4y=5. write down coordinates of point of intersection of the two lines. Thank you

Algebra ->  Linear-equations -> SOLUTION: Hello, sovle graphically x+y+2=0 and 3x-4y=5. write down coordinates of point of intersection of the two lines. Thank you      Log On


   

Question 372570: Hello,
sovle graphically x+y+2=0 and 3x-4y=5. write down coordinates of point of intersection of the two lines.
Thank you
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
x%2By%2B2=0
y=-x-2
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3x-4y=5
-4y=-3x%2B5
y=%283%2F4%29x-5%2F4
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This example is not really appropriate for solving graphically because of the nature of the solution and highlights some of the drawbacks especially in getting an exact answer.
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Solving the problem algebraically,
-x-2=%283%2F4%29x-5%2F4
-%287%2F4%29x=8%2F4-5%2F4
-%287%2F3%29x=3%2F4
highlight%28x=-3%2F7%29
Then using either equation to solve for y.
-3%2F7%2By%2B2=0
y=-14%2F7%2B3%2F7
highlight%28y=-11%2F7%29
So unless you have graph paper with (1/7) divisions you wouldn't get the exact answer.