document.write( "Question 340494: Hello,\r
\n" ); document.write( "\n" ); document.write( "Well I need help with solving systems of equations with circles. My teacher really did not explain how to solve the equation algebraically.\r
\n" ); document.write( "\n" ); document.write( "The problem is:\r
\n" ); document.write( "\n" ); document.write( "(x+2)^2 + (y-2)^2= 9
\n" ); document.write( "(x-1)^2 + (y-2)^2=16\r
\n" ); document.write( "\n" ); document.write( "I graphed the circles by plotting (-2,2) with a radius of 3 for the first circle, and (1,2) with a radius of 4 for the second circle. Please assist me in solving the equations algebraically.\r
\n" ); document.write( "\n" ); document.write( "Thank you so much!\r
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "

Algebra.Com's Answer #244016 by Alan3354(69443)\"\" \"About 
You can put this solution on YOUR website!
(x+2)^2 + (y-2)^2= 9
\n" ); document.write( "(x-1)^2 + (y-2)^2=16
\n" ); document.write( "----------------------
\n" ); document.write( "\"%28y-2%29%5E2+=+9+-+%28x%2B2%29%5E2+=+16+-+%28x-1%29%5E2\"
\n" ); document.write( "\"9+-+x%5E2+-+4x+-+4+=+16+-+x%5E2+%2B+2x+-+1\"
\n" ); document.write( "5 - 4x = 15 + 2x
\n" ); document.write( "-10 = 6x
\n" ); document.write( "x = -5/3
\n" ); document.write( "----------
\n" ); document.write( "Sub for x into either eqn and find 2 values for y.
\n" ); document.write( "
\n" ); document.write( "
\n" );