SOLUTION: Solve the sytem of equations by graphing. Then classify as consisten or inconsisten, dependent or independent. 8x-6y=-18 6y-8x=18

Algebra ->  Graphs -> SOLUTION: Solve the sytem of equations by graphing. Then classify as consisten or inconsisten, dependent or independent. 8x-6y=-18 6y-8x=18      Log On


   

Question 200864: Solve the sytem of equations by graphing. Then classify as consisten or inconsisten, dependent or independent.
8x-6y=-18
6y-8x=18
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Solve the sytem of equations by graphing. Then classify as consistent or inconsisten, dependent or independent.
8x-6y=-18
6y-8x=18
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Simplify:
Divide thru the 1st equation by 2 to get:
4x - 3y = -9
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Divide thru the 2nd equation by -2 to get:
4x - 3y = -9
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The two equations are really one equation.
The system is dependent.
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Put the equation in slope-intercept form:
4x - 3y = -9
3y = 4x + 9
y = (4/3)x + 3
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Graph:
graph%28400%2C300%2C-10%2C10%2C-10%2C10%2C%284%2F3%29x%2B3%29%2C
The two intersect at every point, so x and y
have the same meaning in both equations.
So the equations are consistent.
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Cheers,
Stan H.