document.write( "Question 201885: Hi there. I need some help.\r
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document.write( "solve for x or y.\r
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document.write( "2x-3y=2
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document.write( "7x-7y=5\r
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document.write( "I dont understand the -2 \n" );
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Algebra.Com's Answer #152138 by PRMath(133)![]() ![]() ![]() You can put this solution on YOUR website! solve for x or y.\r \n" ); document.write( "\n" ); document.write( "2x-3y=2 \n" ); document.write( "7x-7y=5\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "I'm not sure if you want each equation solved for x or y, or whether this is a system. I think this is a system, so if it isn't, just re-submit your question and I'm sure you'll get an answer.\r \n" ); document.write( "\n" ); document.write( "There are a few ways you can solve this but I will show you how to solve this system by elimination.........\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "2x - 3y = 2 (What if you multiply this whole line by 7?) \n" ); document.write( "7x - 7y = 5 (What if you multiply this whole line by -2?)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Here are your new equations after multiplying by 7 (top line) and -2 (bottom line)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " 14x - 21y = 14 \n" ); document.write( "-14x + 14y = -10 (now add these two equations) \n" ); document.write( "________________________ \n" ); document.write( "0x - 7y = 4 \n" ); document.write( " y = -4/7\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Now you can \"plug\" -4/7 into one of your original equations. I'll choose the first one:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "2x-3y=2 (original equation)\r \n" ); document.write( "\n" ); document.write( "2x - 3(-4/7) = 2 (plug in -4/7) \n" ); document.write( "2x + 12/7 = 2 (multiply -3 times -4/7) \n" ); document.write( "2x = 2 - 12/7 (subtract 12/7 from both sides) \n" ); document.write( "2x = 2/1 - 12/7 (showing that 2 is the same as 2/1) \n" ); document.write( "2x = 14/7 - 12/7 (finding a common denominator for combining fractions) \n" ); document.write( "2x = 2/7 (subtraction) \n" ); document.write( " x = 2/7 divided by 2 (divide by 2 on both sides) \n" ); document.write( " x = 2/7 times 1/2 (when we divide fractions, we multiply by the reciprocal) \n" ); document.write( " x = 2/14 = 1/7 \n" ); document.write( " \r \n" ); document.write( "\n" ); document.write( "Now if your question was an equation of a line, that's something else...\r \n" ); document.write( "\n" ); document.write( "I hope this is helpful....\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |