document.write( "Question 764794: I multiplied the bottom equation by -4 to cancel out the y's then subtracted the two equations but got the wrong answer.\r
\n" );
document.write( "\n" );
document.write( "Solve each system of equations. \r
\n" );
document.write( "\n" );
document.write( "9x^2+4y^2=144
\n" );
document.write( "x^2+y^2=25\r
\n" );
document.write( "\n" );
document.write( " \n" );
document.write( "
Algebra.Com's Answer #465731 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! Solve each system of equations. \n" ); document.write( "9x^2 + 4y^2 = 144 \n" ); document.write( "x^2 + y^2 = 25 \n" ); document.write( ": \n" ); document.write( "After you multiply the 2nd equation by -4, you want add the equations \n" ); document.write( "9x^2 + 4y^2 = 144 \n" ); document.write( "-4x^2 -4y^2 = -100 \n" ); document.write( "--------------------- \n" ); document.write( "5y^2 = 44 \n" ); document.write( "y^2 = 44/5 \n" ); document.write( "y = \n" ); document.write( "y = \n" ); document.write( "y ~ 2.966 \n" ); document.write( ": \n" ); document.write( "Find x using the 2n original equation; y^2 = 44/5 \n" ); document.write( "x^2 + 44/5 = 25 \n" ); document.write( "multiply both sides by 5 \n" ); document.write( "5x^2 + 44 = 125 \n" ); document.write( "5x^2 = 125 - 44 \n" ); document.write( "5x^2 = 81 \n" ); document.write( "x^2 = 81/5 \n" ); document.write( "x = \n" ); document.write( "x = \n" ); document.write( "x ~ 4.025 \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "Check this on a calc: enter (81/5) + (44/5) results: 25 \n" ); document.write( " |