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If the Product of a number and -3 is reduced by 5, the result is 25 less than twice the opposite of the number . find the number\r
\n" ); document.write( "\n" ); document.write( "the key to understanding this word problem is translating the words used to common math terms
\n" ); document.write( "what is the product? it means multiply
\n" ); document.write( "so let n= the number
\n" ); document.write( "-3*n
\n" ); document.write( "reduced by means subtract
\n" ); document.write( "-3*n-5
\n" ); document.write( "the result means equals
\n" ); document.write( "-3*n-5=25
\n" ); document.write( "less than means subtract 25 from something.
\n" ); document.write( "what is the something twice the opposite of the number
\n" ); document.write( "twice means multiply by 2
\n" ); document.write( "What is the opposite of a number?
\n" ); document.write( "Opposite number or additive inverse of any number n is a number which, if added to n, results in 0, the identity element of addition. The opposite number for n is written as -n. For example, -7 is opposite to 7, because -\!7 + 7 = 0. You can say that the opposite number of a number, is the negative version of the positive number.
\n" ); document.write( "so we take 2*-n and subtract 25
\n" ); document.write( "-3*n-5=2*-n-25
\n" ); document.write( "simplify
\n" ); document.write( "-3n-5=-2n-25
\n" ); document.write( "add 3n to both sides
\n" ); document.write( "-5=n-25
\n" ); document.write( "add 25 to both sides
\n" ); document.write( "20=n
\n" ); document.write( "now let's check it
\n" ); document.write( "20(-3)-5=2(-20)-25
\n" ); document.write( "-60-5=-40-25
\n" ); document.write( "-65=-65
\n" ); document.write( "ok checked
\n" ); document.write( "so the number is 20\r
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