document.write( "Question 63144: I need serious help\r
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\n" ); document.write( "\n" ); document.write( "8(5-y)=64\r
\n" ); document.write( "\n" ); document.write( "-3x=-5(x-8)\r
\n" ); document.write( "\n" ); document.write( "4(m-4)=3(m+5) \n" ); document.write( "
Algebra.Com's Answer #44056 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
Just follow the simple rules of algebra to isolate the variable on the left
\n" ); document.write( "Here it is step-by-step
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\n" ); document.write( "8(5-y) = 64
\n" ); document.write( "normally you would mult what's inside brackets, however, here we can simplify
\n" ); document.write( "things by dividing both sides by 8; this would give us:
\n" ); document.write( "1(5-y) = 8
\n" ); document.write( "5 - y = 8
\n" ); document.write( "subtract 5 from both sides:
\n" ); document.write( "5 -5 -y = 8 - 5
\n" ); document.write( "-y = +3
\n" ); document.write( "Our variable (y), has to be positive, so mult eq by -1, gives us:
\n" ); document.write( "y = - 3
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\n" ); document.write( "check our solution in the original equation:
\n" ); document.write( "8(5-y) = 64
\n" ); document.write( "8(5 - (-3)) = 64
\n" ); document.write( "8(5 + 3) = 64; remember, a minus a minus, is a plus
\n" ); document.write( "8(8) = 64
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\n" ); document.write( "-3x=-5(x-8)
\n" ); document.write( "Mult what's inside the brackets:
\n" ); document.write( "-3x - 5x + 40
\n" ); document.write( "Add 5x to both sides:
\n" ); document.write( "5x - 3x = -5x + 5x + 40
\n" ); document.write( "2x = 40
\n" ); document.write( "Divide both sides by 2
\n" ); document.write( "1x = 40/2
\n" ); document.write( "x = + 20
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\n" ); document.write( "Check our solution: -3(20) = -5(20-8)
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\n" ); document.write( "4(m-4) = 3(m+5)
\n" ); document.write( "Mult what's inside the brackets:
\n" ); document.write( "4m - 16 = 3m + 15
\n" ); document.write( "Subtract 3m from both sides and you have:
\n" ); document.write( "4m - 3m - 16 = -3m + 3m + 15
\n" ); document.write( "1m - 16 = 15
\n" ); document.write( "Add 16 to both sides:
\n" ); document.write( "m - 16 +16 = 15 + 16
\n" ); document.write( "m = 31
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\n" ); document.write( "Check our solution:
\n" ); document.write( "4(31 - 4) = 3(31 + 5)
\n" ); document.write( "4(27) = 3(36)
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\n" ); document.write( "It's a good idea to prove that your solution is correct like we did here.\r
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