document.write( "Question 233257: solve this system of equations by substitution
\n" ); document.write( "2x+y=10
\n" ); document.write( "x=y+2 \n" ); document.write( "

Algebra.Com's Answer #172235 by unlockmath(1688) $\"\"$ $\"About$

You can put this solution on YOUR website!
solve this system of equations by substitution
\n" ); document.write( "2x+y=10
\n" ); document.write( "x=y+2
\n" ); document.write( "Hello,
\n" ); document.write( "Here's what we do. Since one of the equations is already in the form of x = y + 2
\n" ); document.write( "we can plug y + 2 into the first equation. It would look like this:
\n" ); document.write( "2(y + 2)+y = 10 (Then distribute)
\n" ); document.write( "2y + 4 + y = 10 (combine terms)
\n" ); document.write( "3y + 4 = 10 (subtract 4 from both sides)
\n" ); document.write( "3y = 6 (Divide by 3)
\n" ); document.write( "y = 2 (now that we know that y = 2, we can find the value of x)
\n" ); document.write( "2x + 2 = 10 (subtract 2 from both sides)
\n" ); document.write( "2x = 8 (divide by 2 on each side)
\n" ); document.write( "x = 4 We got it solved. y = 2 and x = 4
\n" ); document.write( "Plug these into both equations and it should work out fine for you.
\n" ); document.write( "Good luck.
\n" ); document.write( "RJ Toftness
\n" ); document.write( "www.math-unlock.com \n" ); document.write( "

\n" );