document.write( "Question 147027: I really need help with solving a system using the elimination method. Please!
\n" ); document.write( "x^2+3y=25
\n" ); document.write( "x+y=7 \n" ); document.write( "
Algebra.Com's Answer #107363 by ankor@dixie-net.com(22740)\"\" \"About 
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x^2 + 3y = 25
\n" ); document.write( "x + y = 7
\n" ); document.write( ":
\n" ); document.write( "Multiply the 2nd equation by 3 and subtract from the 1st equation:
\n" ); document.write( "x^2 + 3y = 25
\n" ); document.write( "3x + 3y = 21
\n" ); document.write( "---------------Subtracting eliminates y, leaving us with
\n" ); document.write( "x^2 + 3x = 4
\n" ); document.write( ":
\n" ); document.write( "A quadratic equation that we can factor:
\n" ); document.write( "x^2 + 3x - 4 = 0
\n" ); document.write( "(x + 4)(x - 1) = 0
\n" ); document.write( "Two solutions:
\n" ); document.write( "x = -4
\n" ); document.write( "x = +1
\n" ); document.write( ":
\n" ); document.write( "Find the value for y using both solutions using the 2nd equation (x + y = 7)
\n" ); document.write( "x=-4
\n" ); document.write( "-4 + y = 7
\n" ); document.write( "y = 7 + 4
\n" ); document.write( "y = 11
\n" ); document.write( "and
\n" ); document.write( "x = +1
\n" ); document.write( "1 + y = 7
\n" ); document.write( "y = 7 - 1
\n" ); document.write( "y = 6
\n" ); document.write( ":
\n" ); document.write( "We have two sets of solutions: x=-4,y=11 and x=1,y=6
\n" ); document.write( ":
\n" ); document.write( "But only one set will work in the 1st equation, substitute both in x^2 + 3y = 25
\n" ); document.write( "You do this and you will see that x=1;y=6 is the solution that satisfies both equations.
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