document.write( "Question 1017951: Find real numbers x and y such that (2x+y)+(3-5x)i=1-7yi. \n" ); document.write( "

Algebra.Com's Answer #634150 by stanbon(75887) $\"\"$ $\"About$

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Find real numbers x and y such that (2x+y)+(3-5x)i=1-7yi.
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\n" ); document.write( "Equate the Real Parts and the Imaginary parts to get 2 equations::
\n" ); document.write( "2x+y = 1
\n" ); document.write( "3-5x = -7y
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\n" ); document.write( "Rearrange::
\n" ); document.write( "y + 2x = 1
\n" ); document.write( "7y - 5x = -3
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\n" ); document.write( "Modify for elimination::
\n" ); document.write( "7y + 14x = 7
\n" ); document.write( "7y - 5x = -3
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\n" ); document.write( "Subtract and solve for \"x\"::
\n" ); document.write( "19x = 10
\n" ); document.write( "x = 10/19
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\n" ); document.write( "Solve for \"y\"::
\n" ); document.write( "y = -2x + 1
\n" ); document.write( "y = -(20/19) + (19/19)
\n" ); document.write( "y = -1/19
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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