document.write( "Question 1190677: 2x+y=-4
\n" ); document.write( "x+y=-7
\n" ); document.write( "Find the first variable and isolate it. Then solve for that variable.
\n" ); document.write( "solve for the second variable
\n" ); document.write( "find the numerical value of the first variable.
\n" ); document.write( "(when I say the first variable it's any variable that you would want to start with...that's what my teacher said)
\n" ); document.write( "I don't really understand how to do this so could somebody please explain
\n" ); document.write( "

Algebra.Com's Answer #822373 by Theo(13342)\"\" \"About 
You can put this solution on YOUR website!
your equations are:\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "2x + y = -4
\n" ); document.write( "x + y = -7\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "solve for x in the second equation to get:\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "x = -7 - y\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "replace x in the first equation with that to get:\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "2x + y = -4 becomes 2 * (-7 - y) + y = -4.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "you have just changed one equation with two variable into one equation with one variable, allowing you to solve for that variable.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "the equation to solve is:\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "2 * (-7 - y) + y = -4.
\n" ); document.write( "simplify to get:
\n" ); document.write( "-14 - 2y + y = -4
\n" ); document.write( "combine like terms to get:
\n" ); document.write( "-14 - y = -4
\n" ); document.write( "add 14 to both sides to get:
\n" ); document.write( "-y = -4 + 14
\n" ); document.write( "simplify to get:
\n" ); document.write( "-y = 10
\n" ); document.write( "multiply both sides by -1 to get:
\n" ); document.write( "y = -10\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "now that you solved for y, you can go back to your original equations to solve for x.\r
\n" ); document.write( "\n" ); document.write( "your original equations are:
\n" ); document.write( "2x + y = -4
\n" ); document.write( "x + y = -7\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "when y = -10 .....
\n" ); document.write( "2x + y = -4 becomes 2x -10 = -4 which becomes 2x = 6 which becomes x = 3.
\n" ); document.write( "x + y = -7 becomes x - 10 = -7 which becomes x = 3.
\n" ); document.write( "your solution is that y = -10 and x = 3.
\n" ); document.write( "both original equations are true with those values for x and y.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "let me know if you have any questions or need further clarification.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "here's a reference for you as well.
\n" ); document.write( "https://www.purplemath.com/modules/systlin4.htm
\n" ); document.write( "theo
\n" ); document.write( "
\n" );