document.write( "Question 1189820: 2y=2x+6
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document.write( "y=2x+4\r
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document.write( "Find the first variable and isolate it. Then solve for that variable\r
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document.write( "solve for the second variable\r
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document.write( "find the numerical value of the first variable\r
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document.write( "Check your work\r
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document.write( ":) \n" );
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Algebra.Com's Answer #821302 by Theo(13342)![]() ![]() You can put this solution on YOUR website! two equations need to be solved simultaneously.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "2y = 2x + 6 \n" ); document.write( "y = 2x + 4\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "multiply both sides of the second equaion by 2 and leave the first equation as is to get:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "2y = 2x + 6 \n" ); document.write( "2y = 4x + 8\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "subtract the first equation from the second to get:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "0 = 2x + 2\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "solve for x to get x = -1\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "replace x in y = 2x + 4 to get y = -2 + 4 \n" ); document.write( "solve for y to get y = 2\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "you have x = -1 and y = 2\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "replace x and y in both original equations to get:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "2y = 2x + 6 becomes 4 = -2 + 6 which becomes 4 = 4. \n" ); document.write( "y = 2x + 4 becomes 2 = -2 + 4 which becomes 2 = 2.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "this confirms the values are good.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "your solution is that x = -1 and y = 2. \n" ); document.write( "since the first variable is y, then your solution would becomes y = 2.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |