document.write( "Question 1190677: 2x+y=-4
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document.write( "x+y=-7
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document.write( "Find the first variable and isolate it. Then solve for that variable.
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document.write( "solve for the second variable
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document.write( "find the numerical value of the first variable.
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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)
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document.write( "I don't really understand how to do this so could somebody please explain \n" );
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Algebra.Com's Answer #822373 by Theo(13342)![]() ![]() 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( " |