document.write( "Question 540551: x^2+y^2=9
\n" ); document.write( "x^2+6y^2=36 \n" ); document.write( "

Algebra.Com's Answer #353765 by Maths68(1474) $\"\"$ $\"About$

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$\"x%5E2%2B6y%5E2=36\"$ ............(1)
\n" ); document.write( " $\"x%5E2%2By%5E2=9\"$ ..............(2)
\n" ); document.write( "Subtract (2) from (1)
\n" ); document.write( " $\"x%5E2%2B6y%5E2=36\"$
\n" ); document.write( " $\"-x%5E2-y%5E2=-9\"$
\n" ); document.write( "-------------------
\n" ); document.write( " $\"5y%5E2=27\"$
\n" ); document.write( "Divide by 5 both sides
\n" ); document.write( " $\"5y%5E2%2F5=27%2F5\"$
\n" ); document.write( " $\"cross%285%29y%5E2%2Fcross%285%29=27%2F5\"$
\n" ); document.write( " $\"y%5E2=27%2F5\"$
\n" ); document.write( "Take square root both sides
\n" ); document.write( " $\"sqrt%28y%5E2%29=sqrt%2827%2F5%29\"$
\n" ); document.write( " $\"y=sqrt%2827%2F5%29\"$
\n" ); document.write( "Put the value of y in (2)
\n" ); document.write( " $\"x%5E2%2By%5E2=9\"$ ..............(2)
\n" ); document.write( " $\"x%5E2%2B%28sqrt%2827%2F5%29%29%5E2=9\"$
\n" ); document.write( " $\"x%5E2%2B%2827%2F5%29=9\"$
\n" ); document.write( " $\"x%5E2=9-%2827%2F5%29\"$
\n" ); document.write( " $\"x%5E2=%2845-27%29%2F5\"$
\n" ); document.write( " $\"x%5E2=18%2F5\"$
\n" ); document.write( "Take square root both sides
\n" ); document.write( " $\"sqrt%28x%5E2%29=sqrt%2818%2F5%29\"$
\n" ); document.write( " $\"x=sqrt%2818%2F5%29\"$ \r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Check
\n" ); document.write( "=====
\n" ); document.write( "Put the values of x and y in (2)
\n" ); document.write( " $\"x%5E2%2By%5E2=9\"$ ..............(2)
\n" ); document.write( " $\"%28sqrt%2818%2F5%29%29%5E2%2B%28sqrt%2827%2F5%29%29%5E2=9\"$
\n" ); document.write( " $\"%2818%2F5%29%2B%2827%2F5%29=9\"$
\n" ); document.write( " $\"%2818%2B27%29%2F5%29=9\"$
\n" ); document.write( " $\"%2845%2F5%29=9\"$
\n" ); document.write( " $\"9=9\"$ \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Put the values of x and y in (1)
\n" ); document.write( " $\"x%5E2%2B6y%5E2=36\"$ ............(1)
\n" ); document.write( " $\"%28sqrt%2818%2F5%29%29%5E2%2B6%28%28sqrt%2827%2F5%29%29%5E2%29=36\"$
\n" ); document.write( " $\"18%2F5%2B%286%2827%2F5%29%29=36\"$
\n" ); document.write( " $\"18%2F5%2B%28162%2F5%29%29=36\"$
\n" ); document.write( " $\"%2818%2B162%29%2F5=36\"$
\n" ); document.write( " $\"180%2F5=36\"$
\n" ); document.write( " $\"36=36\"$
\n" ); document.write( " \n" ); document.write( "

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