SOLUTION: Find real numbers x and y such that (2x+y)+(3-5x)i=1-7yi.

Question 1017951: Find real numbers x and y such that (2x+y)+(3-5x)i=1-7yi.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Find real numbers x and y such that (2x+y)+(3-5x)i=1-7yi.
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Equate the Real Parts and the Imaginary parts to get 2 equations::
2x+y = 1
3-5x = -7y
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Rearrange::
y + 2x = 1
7y - 5x = -3
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Modify for elimination::
7y + 14x = 7
7y - 5x = -3
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Subtract and solve for "x"::
19x = 10
x = 10/19
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Solve for "y"::
y = -2x + 1
y = -(20/19) + (19/19)
y = -1/19
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Cheers,
Stan H.
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