document.write( "Question 351475: Solve the following system of equations algebraically and check: y = 2x^2 + 2x + 3 x = y-3. What is the integer solution? What is the noninteger solution? \n" ); document.write( "

Algebra.Com's Answer #251125 by Fombitz(32388) $\"\"$ $\"About$

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$\"x=y-3\"$
\n" ); document.write( " $\"y=x%2B3\"$
\n" ); document.write( "Substitue,
\n" ); document.write( " $\"x%2B3=2x%5E2%2B2x%2B3\"$
\n" ); document.write( " $\"2x%5E2%2Bx=0\"$
\n" ); document.write( " $\"x%282x%2B1%29=0\"$
\n" ); document.write( "Two solutions:
\n" ); document.write( " $\"x=0\"$
\n" ); document.write( "Then
\n" ); document.write( " $\"y=0%2B3\"$
\n" ); document.write( " $\"y=3\"$
\n" ); document.write( "(0,3)
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\n" ); document.write( " $\"2x%2B1=0\"$
\n" ); document.write( " $\"2x=-1\"$
\n" ); document.write( " $\"x=-1%2F2\"$
\n" ); document.write( "Then
\n" ); document.write( " $\"y=-1%2F2%2B3\"$
\n" ); document.write( " $\"y=-1%2F2%2B6%2F2\"$
\n" ); document.write( " $\"y=5%2F2\"$
\n" ); document.write( "(-1/2,5/2)
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