document.write( "Question 152423: Please help with this problem
\n" ); document.write( "The complex numbers 2/5xi + 3 and -4 - 1/4yi are equal. Find the values of x and y
\n" ); document.write( "Have tried solving as a regular equation but cannot find equal values. \n" ); document.write( "

Algebra.Com's Answer #112031 by orca(409) $\"\"$ $\"About$

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It seems that 2/5xi + 3 should be changed to 2/5x + 3i.
\n" ); document.write( "NOTE THAT: Two complex numbers are equal if and only if their real parts are equal and their imaginary parts are equal.
\n" ); document.write( "Therefore for $\"%282%2F5%29%2Ax%2B3i\"$ and $\"-4-%281%2F4%29%2Ayi\"$ to be equal, two conditions must be satisfied:
\n" ); document.write( " $\"%282%2F5%29%2Ax=-4\"$
\n" ); document.write( " $\"3=-%281%2F4%29%2Ay\"$
\n" ); document.write( "Solving the first equation for x, we have x=-10.
\n" ); document.write( "Solving the second equation for y, we have y=-12.
\n" ); document.write( " \n" ); document.write( "

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