document.write( "Question 405801: Solve by substitution:6x-y=18 8x+y=24 \n" ); document.write( "
Algebra.Com's Answer #286561 by MathLover1(20849)\"\" \"About 
You can put this solution on YOUR website!
\r
\n" ); document.write( "\n" ); document.write( "\"6x-y=18\"\r
\n" ); document.write( "\n" ); document.write( "\"+8x%2By=24\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "\n" ); document.write( "
Solved by pluggable solver: SOLVE linear system by SUBSTITUTION
Solve:
\n" ); document.write( " \"+system%28+%0D%0A++++6%5Cx+%2B+-1%5Cy+=+18%2C%0D%0A++++8%5Cx+%2B+1%5Cy+=+24+%29%0D%0A++\"We'll use substitution. After moving -1*y to the right, we get:
\n" ); document.write( " \"6%2Ax+=+18+-+-1%2Ay\", or \"x+=+18%2F6+-+-1%2Ay%2F6\". Substitute that
\n" ); document.write( " into another equation:
\n" ); document.write( " \"8%2A%2818%2F6+-+-1%2Ay%2F6%29+%2B+1%5Cy+=+24\" and simplify: So, we know that y=0. Since \"x+=+18%2F6+-+-1%2Ay%2F6\", x=3.
\n" ); document.write( "
\n" ); document.write( " Answer: \"system%28+x=3%2C+y=0+%29\".
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" );