document.write( "Question 595485: Solve this system of linear equations:
\n" ); document.write( " $\"y=x-2\"$
\n" ); document.write( " $\"2x%2B2y=4\"$ \n" ); document.write( "

Algebra.Com's Answer #377194 by math-vortex(648) $\"\"$ $\"About$

You can put this solution on YOUR website!
Hi, there--
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\n" ); document.write( "I'll solve this using the substitution method. Since y is equal to x-2, we will substitute x-2 for y in the second equation.
\n" ); document.write( " $\"2x%2B2y=4\"$
\n" ); document.write( " $\"2x%2B2%28x-2%29=4\"$
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\n" ); document.write( "Now simplify and solve for x.
\n" ); document.write( " $\"2x%2B2x-4%29=4\"$
\n" ); document.write( " $\"4x-4=4\"$
\n" ); document.write( " $\"4x=8\"$
\n" ); document.write( " $\"x=2\"$
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\n" ); document.write( "Substitute 2 for x in either equation and solve for y.
\n" ); document.write( " $\"y=x-2\"$
\n" ); document.write( " $\"y=2-2\"$
\n" ); document.write( " $\"y=0\"$
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\n" ); document.write( "We have x-2 and y=0. Check your work by substituting these values into both equations.
\n" ); document.write( " $\"y=x-2\"$
\n" ); document.write( " $\"0=2-2\"$
\n" ); document.write( " $\"0=0\"$
\n" ); document.write( "Bingo!
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\n" ); document.write( " $\"2x%2B2y=4\"$
\n" ); document.write( " $\"2%282%29%2B2%280%29=4\"$
\n" ); document.write( " $\"4%2B0=4\"$
\n" ); document.write( " $\"4=4\"$
\n" ); document.write( "Check!
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\n" ); document.write( "The (x,y) ordered pair (2,0) is the solution for this system of equations.
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\n" ); document.write( "That's it! Feel free to email me if you have questions about this solution.
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\n" ); document.write( "Mrs.Figgy
\n" ); document.write( "math.in.the.vortex@gmail.com\r
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