document.write( "Question 677986: it says find the common solution(s).
\n" ); document.write( "y=3x^2
\n" ); document.write( "y=3x+6 \r
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\n" ); document.write( "\n" ); document.write( "4y + 3x=12
\n" ); document.write( "2x+3y=1
\n" ); document.write( "

Algebra.Com's Answer #421126 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
find the common solution(s).
\n" ); document.write( "y=3x^2
\n" ); document.write( "y=3x+6
\n" ); document.write( "-----
\n" ); document.write( "3x^2 = 3x + 6
\n" ); document.write( "x^2 = x + 2
\n" ); document.write( "x^2-x-2 = 0
\n" ); document.write( "Factor:
\n" ); document.write( "(x-2)(x+1) = 0
\n" ); document.write( "x = 2 or x = -1
\n" ); document.write( "---
\n" ); document.write( "If x = 2, y = 12
\n" ); document.write( "If x = -1, y = 3
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\n" ); document.write( "\n" ); document.write( "4y + 3x=12
\n" ); document.write( "2x+3y=1
\n" ); document.write( "-----
\n" ); document.write( "Rearrange:
\n" ); document.write( "3x + 4y = 12
\n" ); document.write( "2x + 3y = 1
\n" ); document.write( "-----
\n" ); document.write( "Multiply top equation by 2
\n" ); document.write( "Multiply bottom equation by 3
\n" ); document.write( "----
\n" ); document.write( "6x + 8y = 24
\n" ); document.write( "6x + 9y = 3
\n" ); document.write( "------
\n" ); document.write( "Subtract to solve for \"y\":
\n" ); document.write( "y = -21
\n" ); document.write( "---
\n" ); document.write( "Solve for \"x\" using 2x + 3y = 1
\n" ); document.write( "---
\n" ); document.write( "2x +3*-21 = 1
\n" ); document.write( "2x -63 = 1
\n" ); document.write( "2x = 64
\n" ); document.write( "x = 32
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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