SOLUTION: 3. Plot the graph of the equations 10x - 4y = 3 and 5x - 2y = 6 and interpret the result.

Algebra ->  Graphs -> SOLUTION: 3. Plot the graph of the equations 10x - 4y = 3 and 5x - 2y = 6 and interpret the result.      Log On


   

Question 163948: 3. Plot the graph of the equations 10x - 4y = 3 and 5x - 2y = 6 and interpret the result.
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Plot the graph of the equations:
10x - 4y = 3
If x = 0, y = -3/4
If y = 0, x = 3/10
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Plot the points: (0,-3/4) and (3/10,0)
Draw a line thru them to get:
graph%28400%2C300%2C-10%2C10%2C-10%2C10%2C%285%2F2%29x-%283%2F4%29%29
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and 5x - 2y = 6 and interpret the result
Solve for "y":
y = (5/2)x-3
If x = 0, y=-3
If x = 2, y = 2
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Plot the points: (0,-3) and (2,2)
graph%28400%2C300%2C-10%2C10%2C-10%2C10%2C%285%2F2%29x-3%29
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Find the point of intersection. The x/y values
of that point satisfy both equations.
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Cheers,
Stan H.