document.write( "Question 222794: 3x-2y+2=0
\n" ); document.write( "x+3y=14
\n" ); document.write( "

Algebra.Com's Answer #166723 by drj(1380)\"\" \"About 
You can put this solution on YOUR website!
3x-2y+2=0 or 3x-2y=-2\r
\n" ); document.write( "\n" ); document.write( "x+3y=14 or x+3y=14\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++++3%5Cx+%2B+-2%5Cy+=+-2%2C%0D%0A++++1%5Cx+%2B+3%5Cy+=+14+%29%0D%0A++\"We'll use substitution. After moving -2*y to the right, we get:
\n" ); document.write( " \"3%2Ax+=+-2+-+-2%2Ay\", or \"x+=+-2%2F3+-+-2%2Ay%2F3\". Substitute that
\n" ); document.write( " into another equation:
\n" ); document.write( " \"1%2A%28-2%2F3+-+-2%2Ay%2F3%29+%2B+3%5Cy+=+14\" and simplify: So, we know that y=4. Since \"x+=+-2%2F3+-+-2%2Ay%2F3\", x=2.
\n" ); document.write( "
\n" ); document.write( " Answer: \"system%28+x=2%2C+y=4+%29\".
\n" ); document.write( "

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