document.write( "Question 212446: 3x-2y=-7
\n" ); document.write( "x+y=1
\n" ); document.write( "

Algebra.Com's Answer #160498 by drj(1380)\"\" \"About 
You can put this solution on YOUR website!
\"3x-2y=-7\"
\n" ); document.write( "\"x%2By=1\"\r
\n" ); document.write( "\n" ); document.write( "The following solves the linear system of equations with substitution.\r
\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++++3%5Cx+%2B+-2%5Cy+=+-7%2C%0D%0A++++1%5Cx+%2B+1%5Cy+=+1+%29%0D%0A++\"We'll use substitution. After moving -2*y to the right, we get:
\n" ); document.write( " \"3%2Ax+=+-7+-+-2%2Ay\", or \"x+=+-7%2F3+-+-2%2Ay%2F3\". Substitute that
\n" ); document.write( " into another equation:
\n" ); document.write( " \"1%2A%28-7%2F3+-+-2%2Ay%2F3%29+%2B+1%5Cy+=+1\" and simplify: So, we know that y=2. Since \"x+=+-7%2F3+-+-2%2Ay%2F3\", x=-1.
\n" ); document.write( "
\n" ); document.write( " Answer: \"system%28+x=-1%2C+y=2+%29\".
\n" ); document.write( "

\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "I hope the above steps were helpful. Good luck in your studies!\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Respectfully,
\n" ); document.write( "Dr J\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "For free Step-By-Step Videos on Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra.
\n" ); document.write( "
\n" );