document.write( "Question 224068: 3x+y=-5 y=x+3 sove by sobstitution. express our answer \n" ); document.write( "

Algebra.Com's Answer #167390 by LtAurora(115) $\"\"$ $\"About$

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The second given equation is already solved for $\"y\"$ , so we can plug this equation into the first to obtain:
\n" ); document.write( " $\"3x%2B%28x%2B3%29=-5\"$ . The second equation is simply put in the place of the $\"y\"$ in the first equation.
\n" ); document.write( "To solve this, combine the $\"x\"$ terms on the left hand side of the equation:
\n" ); document.write( " $\"4x%2B3=-5\"$ .
\n" ); document.write( "Then, subtract the 3 from both sides:
\n" ); document.write( " $\"4x=-8\"$ .
\n" ); document.write( "To obtain what $\"x\"$ equals, divide both sides by 4:
\n" ); document.write( " $\"x=-2\"$ .
\n" ); document.write( "This result can then be plugged back into the second equation to determine that $\"y\"$ is equal to.
\n" ); document.write( "So:
\n" ); document.write( " $\"y=-2%2B3\"$
\n" ); document.write( "Which yields: $\"y=1\"$ .
\n" ); document.write( "Our answer is then $\"x=-2\"$ , $\"y=1\"$ . \n" ); document.write( "

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