document.write( "Question 433026: Systems of Linear Equations: Solve Algebraically\r
\n" ); document.write( "\n" ); document.write( "2x+y=5
\n" ); document.write( "x^2+y^2=50 \n" ); document.write( "
Algebra.Com's Answer #300314 by ankor@dixie-net.com(22740)\"\" \"About 
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Systems of Linear Equations: Solve Algebraically
\n" ); document.write( "2x + y = 5
\n" ); document.write( "x^2 + y^2 = 50
\n" ); document.write( ":
\n" ); document.write( "Arrange the 1st equation for substitution
\n" ); document.write( "y = -2x+5
\n" ); document.write( ":
\n" ); document.write( "Replace y with (-2x+5) in the 2nd equation
\n" ); document.write( "x^2 + (-2x+5)^2 = 50
\n" ); document.write( "FOIL
\n" ); document.write( "x^2 + 4x^2 - 20x + 25 = 50
\n" ); document.write( ":
\n" ); document.write( "5x^2 - 20x + 25 - 50 = 0
\n" ); document.write( ":
\n" ); document.write( "5x^2 - 20x - 25 = 0
\n" ); document.write( "Simplify, divide by 5
\n" ); document.write( "x^2 - 4x - 5 = 0
\n" ); document.write( "Factor
\n" ); document.write( "(x-5)(x+1) = 0
\n" ); document.write( "Two solutions
\n" ); document.write( "x = 5
\n" ); document.write( "x = -1
\n" ); document.write( ":
\n" ); document.write( "When x=5; y = -2(5) + 5 = -5
\n" ); document.write( "When x=-1; y = -2(-1) + 5 = 7
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "Check both those solution sets in the 2nd equation \n" ); document.write( "
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