document.write( "Question 567833: x+y=1 and 2x-y=-2 \n" ); document.write( "
Algebra.Com's Answer #366733 by rapaljer(4671)![]() ![]() You can put this solution on YOUR website! x+y=1 \n" ); document.write( "2x-y=-2\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "If you ADD the two equations together, you get the y terms subtracting out, and \n" ); document.write( "3x = -1\r \n" ); document.write( "\n" ); document.write( "x=-1/3\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Now, substitute this value of x into the first equation. \n" ); document.write( "x+y=1 \n" ); document.write( "-1/3 + y = 1\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Add +1/3 to each side: \n" ); document.write( "-1/3 +1/3 + y = 1 + 1/3 \n" ); document.write( "y=4/3\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Check in the second equation: \n" ); document.write( "2x-y=-2 \n" ); document.write( "2(-1/3) - 4/3 = -2 \n" ); document.write( "-2/3 -4/3 = -2 \n" ); document.write( "-6/3=-2 It checks!!\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "For a complete explanation of this and other topics in SOLVING SYSTEMS OF EQUATIONS, please see my own website. The best way to find it is to use the easy-to-remember and easy-to-spell link www.mathinlivingcolor.com. At the bottom of the page there is a single link that takes you to my Homepage. On my Homepage, look for the link \"Basic, Intermediate, and College Algebra: One Step at a Time.\" Choose \"Basic Algebra\", and look in \"Chapter 4\" for \"Section 4.07 Solving Systems of Equations.\" Here you will find my own non-traditional explanation that my own students used to find much easier to understand than most of the other textbooks being used. I also have lots of examples, exercises, and answers. In addition, most of the hardest problems are solved in color on the MATH IN LIVING COLOR pages that go with this topic. It's ALL FREE on my website!!!\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "To contact me please use my Email address at rapaljer@seminolestate.edu.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Dr. Robert J. Rapalje, Retired \n" ); document.write( "Seminole State College of Florida \n" ); document.write( "Altamonte Springs Campus \n" ); document.write( " |