document.write( "Question 1109371: (3x+4yi)(3+5i)=6+2i \n" ); document.write( "

Algebra.Com's Answer #724351 by math_helper(2461) $\"\"$ $\"About$

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(3x+4yi)(3+5i) = 6+2i
\n" ); document.write( " $\"+9x%2B15xi%2B12yi%2B20yi%5E2+=+6%2B2i\"$
\n" ); document.write( " $\"+9x%2B15xi%2B12yi+-20y+=+6%2B2i\"$
\n" ); document.write( "—
\n" ); document.write( "Grouping real and imaginary parts:\r
\n" ); document.write( "\n" ); document.write( " $\"+%289x-20y%29+%2B+%2815x%2B12y%29i+=+6%2B2i+\"$
\n" ); document.write( "Set LHS real = RHS real and LHS imaginary = RHS imaginary:
\n" ); document.write( " $\"+9x+-+20y+=+6+\"$
\n" ); document.write( " $\"+15x+%2B12y+=+2+\"$ \r
\n" ); document.write( "\n" ); document.write( "You now have two equations with two unknowns, and you should be able to
\n" ); document.write( "solve to get:
\n" ); document.write( " x = 14/51, y=-3/17
\n" ); document.write( "or approximately:
\n" ); document.write( " x=0.27451, y=-0.17647\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

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