document.write( "Question 604408: I am working on systems of Linear Equations, solving using the addition method
\n" ); document.write( "If it is inconsistent we are to state such, if it is dependent we indicate, x, and answer.
\n" ); document.write( "I know this should be simple, I cannot get the hang of it, I tried to follow the book, to no avail.\r
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\n" ); document.write( "\n" ); document.write( "{ x-7 + y + 9 = 5
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\n" ); document.write( " 5 2\r
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\n" ); document.write( "\n" ); document.write( "x+9 + y-7 = 6
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\n" ); document.write( "2 3\r
\n" ); document.write( "\n" ); document.write( "2(x-7) + 5(y+9) = 50
\n" ); document.write( "3(x+9) + 2(y-7) = 36\r
\n" ); document.write( "\n" ); document.write( "2x + 5y = 19
\n" ); document.write( "3x + 2y = 23\r
\n" ); document.write( "\n" ); document.write( "5x + 7y = 42\r
\n" ); document.write( "\n" ); document.write( "x = 7y + 42 / 5\r
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\n" ); document.write( "\n" ); document.write( "I really dont know what I am doing or what I should do at this point. I would deeply appreciate assistance. Thank you!
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Algebra.Com's Answer #381192 by mananth(16946)\"\" \"About 
You can put this solution on YOUR website!
\"%28%28+x-7%29%2F5%29%2B+%28%28y+%2B+9%29%2F2%29=+5\"
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\n" ); document.write( "\"%28%28x%2B9%29%2F2%29%2B%28%28y-7%29%2F3%29=+++6\"\r
\n" ); document.write( "\n" ); document.write( "In the first equation the LCD = 10.
\n" ); document.write( "Multiply equation by 10
\n" ); document.write( "2(x-7)+5(y+9)=50
\n" ); document.write( "2x-14+5y+45=50
\n" ); document.write( "2x+5y=19................(1)\r
\n" ); document.write( "\n" ); document.write( "\"%28%28x%2B9%29%2F2%29%2B%28%28y-7%29%2F3%29=+++6\"\r
\n" ); document.write( "\n" ); document.write( "LCD = 6. Multiply equation by 6\r
\n" ); document.write( "\n" ); document.write( "3(x+9)+2(y-7)=36
\n" ); document.write( "3x+27+2y-14=36
\n" ); document.write( "3x+2y=23.......................(2)\r
\n" ); document.write( "\n" ); document.write( "Solve (1) & (2) \r
\n" ); document.write( "\n" ); document.write( "multiply (1)by -2
\n" ); document.write( "Multiply (2) by 5
\n" ); document.write( "-4 x -10 y = -38
\n" ); document.write( "15 x + 10 y = 115
\n" ); document.write( "Add the two equations
\n" ); document.write( "11 x = 77
\n" ); document.write( "/ 11
\n" ); document.write( "x = 7.00
\n" ); document.write( "plug value of x in (1)
\n" ); document.write( "2 x + 5 y = 19
\n" ); document.write( "14.00 + 5 y = 19
\n" ); document.write( " 5 y = 19 -14.00
\n" ); document.write( " 5 y = 5
\n" ); document.write( " y = 1.00 \r
\n" ); document.write( "\n" ); document.write( "The rest of them are similar
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