document.write( "Question 529564: Use elimination method to find all solutions of the systems of equations.\r
\n" ); document.write( "\n" ); document.write( "4x^2-y^2=75
\n" ); document.write( "x^2+5y^2=150 \n" ); document.write( "
Algebra.Com's Answer #349629 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
Use elimination method to find all solutions of the systems of equations.
\n" ); document.write( "4x^2 - y^2 = 75
\n" ); document.write( "x^2 + 5y^2 = 150
\n" ); document.write( "Multiply the 1st equation by 5, add to the 2nd equation
\n" ); document.write( "20x^2 - 5y^2 = 375
\n" ); document.write( " x^2 + 5y^2 = 150
\n" ); document.write( "--------------------adding eliminates y^2, find x
\n" ); document.write( "21x^2 = 525
\n" ); document.write( "x^2 = \"525%2F21\"
\n" ); document.write( "x^2 = 25
\n" ); document.write( "x = +/-\"sqrt%2825%29\"
\n" ); document.write( "x = +5
\n" ); document.write( "x = -5
\n" ); document.write( ":
\n" ); document.write( "Find y
\n" ); document.write( "x^2 + 5y^2 = 150
\n" ); document.write( "25 + 5y^2 = 150
\n" ); document.write( "5y^2 = 150 - 25
\n" ); document.write( "5y^2 = 125
\n" ); document.write( "y^2 = \"125%2F5\"
\n" ); document.write( "y^2 = 25
\n" ); document.write( "y = +/-\"sqrt%2825%29\"
\n" ); document.write( "y = +5
\n" ); document.write( "y = -5
\n" ); document.write( ":
\n" ); document.write( "You can check all 4 solutions in the original equations \n" ); document.write( "
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