document.write( "Question 1143622: Given the equation (x+yi)(4+3i)=7-4i
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Algebra.Com's Answer #764478 by Edwin McCravy(20056)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "\"%28x%2Byi%29%284%2B3i%29=7-4i\"\r\n" );
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document.write( "FOIL out the left side:\r\n" );
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document.write( "\"4x%2B3xi%2B4yi%2B3yi%5E2=7-4i\"\r\n" );
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document.write( "Use the fact that i²= -1 to substitute (-1) for i²\r\n" );
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document.write( "\"4x%2B3xi%2B4yi%2B3y%28-1%29=7-4i\"\r\n" );
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document.write( "Simplify the third term on the left:\r\n" );
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document.write( "\"4x%2B3xi%2B4yi-3y=7-4i\"\r\n" );
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document.write( "The 2 REAL terms (that DON'T have i) on the left must \r\n" );
document.write( "equal the REAL term on the right (that DOESN'T have i) so:\r\n" );
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document.write( "\"4x-3y=7\"\r\n" );
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document.write( "The IMAGINARY terms on the left (that DO have i) must \r\n" );
document.write( "equal the IMAGINARY term on the right (that DOES have i), so:\r\n" );
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document.write( "\"3xi%2B4yi=-4i\"\r\n" );
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document.write( "Divide through by i:\r\n" );
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document.write( "\"3x%2B4y=-4\"\r\n" );
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document.write( "So we have the system of equations:\r\n" );
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document.write( "\"system%284x-3y=7%2C3x%2B4y=-4%29\"\r\n" );
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document.write( "Solve that system (preferably by the elimination method):\r\n" );
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document.write( "\"x=16%2F25\" and \"y=-37%2F25\"\r\n" );
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document.write( "Edwin
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