document.write( "Question 290479: I really need help with this question, I'm not understanding it at all, the answer apparently is (-3/2i , 15/4i), (3/2i, -15/4i) Solve this System: 9x^2-4y^2=36
\n" ); document.write( " 5x+2y=0
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Algebra.Com's Answer #210221 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
Solve this System:
\n" ); document.write( " 9x^2 - 4y^2 = 36
\n" ); document.write( " 5x + 2y = 0
\n" ); document.write( ":
\n" ); document.write( "2y = -5x
\n" ); document.write( "y = -\"5%2F2\"x
\n" ); document.write( "or
\n" ); document.write( "y = -2.5x
\n" ); document.write( ":
\n" ); document.write( "Replace y with -2.5x in the 1st equation
\n" ); document.write( "9x^2 - 4(-2.5x)^2 = 36
\n" ); document.write( "9x^2 - 4(6.25x^2) = 36
\n" ); document.write( "9x^2 - 25x^2 = 36
\n" ); document.write( "-16x^2 = 36
\n" ); document.write( "16x^2 = -36
\n" ); document.write( "4x = +/-\"sqrt%28-36%29\"
\n" ); document.write( "4x = +6i
\n" ); document.write( "x = \"6%2F4\"i
\n" ); document.write( "x = \"3%2F2\"i
\n" ); document.write( "and
\n" ); document.write( "4x = -6i
\n" ); document.write( "x = -\"6%2F4\"i
\n" ); document.write( "x = -\"3%2F2\"i
\n" ); document.write( ":
\n" ); document.write( "Find y using the 2nd equation when x =\"3%2F2\"i
\n" ); document.write( "5(\"3%2F2\"i) + 2y = 0
\n" ); document.write( "\"15%2F2\"i + 2y = 0
\n" ); document.write( "2y = -\"15%2F2\"i
\n" ); document.write( "y = -\"15%2F4\"i
\n" ); document.write( "and find y when x = -\"3%2F2\"i
\n" ); document.write( "5(\"-3%2F2\"i) + 2y = 0
\n" ); document.write( "\"-15%2F2\"i + 2y = 0
\n" ); document.write( "2y = +\"15%2F2\"i
\n" ); document.write( "y = +\"15%2F4\"i
\n" ); document.write( "
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