document.write( "Question 70869: Please help me solve this equations
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document.write( "1. 12+(x-9)=3(x-2)\r
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document.write( "2. 1/5x-2=2/5x+4\r
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document.write( "3.2x-3(x+4)=2(x-5)\r
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document.write( "4.3/7x+5=5/7x-1\r
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document.write( "5. 2x-7(x-2)=3(x-4)
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Algebra.Com's Answer #50795 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! 1. \n" ); document.write( "12 + (x-9) = 3(x-2) \n" ); document.write( "12 + x - 9 = 3x - 6; multiply what's inside the brackets, remove the brackets \n" ); document.write( "x + 3 = 3x - 6 \n" ); document.write( "x - 3x = - 6 - 3 \n" ); document.write( "-2x = -9 \n" ); document.write( "2x = + 9; multiplied equation by -1 \n" ); document.write( "x = 9/2 \n" ); document.write( "x = 4.5 \n" ); document.write( ": \n" ); document.write( "Check by substitution for 4.5 for x \n" ); document.write( "12 - 4.5 = 3(2.5) \n" ); document.write( "7.5 = 7.5 \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "2. \n" ); document.write( "(1/5)x - 2 = (2/5)x + 4 \n" ); document.write( "5(1/5)x - 5(2) = 5(2/5)x + 5(4); multiply by 5 get rid of the denominators \n" ); document.write( "x - 10 = 2x + 20 \n" ); document.write( "x - 2x = 20 + 10 \n" ); document.write( "-x = 30 \n" ); document.write( "x = -30; multiplied equation by -1 \n" ); document.write( ": \n" ); document.write( "Check: -6 - 2 = -12 + 4 \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "3. \n" ); document.write( "2x - 3(x+4) = 2(x-5) \n" ); document.write( "2x - 3x - 12 = 2x - 10; multiplied what's inside the brackets \n" ); document.write( "2x - 3x - 2x = -10 + 12 \n" ); document.write( "-3x = 2 \n" ); document.write( "3x = -2 \n" ); document.write( "x = -2/3 \n" ); document.write( ": \n" ); document.write( "Check: \n" ); document.write( "-4/3 - 3(10/3) = 2(-17/3) \n" ); document.write( "-4/3 - 30/3 = -34/3 \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "4. \n" ); document.write( "(3/7)x + 5 = (5/7)x - 1 \n" ); document.write( ": \n" ); document.write( "Multiply equation by 7 and you have: \n" ); document.write( "3x + 35 = 5x - 7 \n" ); document.write( "3x - 5x = - 7 - 35 \n" ); document.write( "-2x = -42 \n" ); document.write( "2x = 42; multiplied by -1 \n" ); document.write( "x = 42/2 \n" ); document.write( "x = 21 \n" ); document.write( ": \n" ); document.write( "Check: 9 + 5 = 15 - 1 \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "5. \n" ); document.write( "2x - 7(x-2) = 3(x-4) \n" ); document.write( "2x - 7x + 14 = 3x - 12 \n" ); document.write( "2x - 7x - 3x = -12 - 14 \n" ); document.write( "-8x = -26 \n" ); document.write( "8x = 26 \n" ); document.write( "x = 26/8 or 13/4 \n" ); document.write( ": \n" ); document.write( "Check using decimal 13/4 = 3.25 \n" ); document.write( "6.5 - 7(1.25) = 3(.75) \n" ); document.write( "6.5 - 8.75 = -2.25 \n" ); document.write( ": \n" ); document.write( "can you do these by yourself now? \n" ); document.write( " \n" ); document.write( " |