document.write( "Question 102798: 3 times a number, increased by 7, is 19. Find the number. \n" ); document.write( "
Algebra.Com's Answer #74764 by doukungfoo(195)\"\" \"About 
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Transforming an english sentence into an algebra equation is just a matter of breaking the sentence down and identifying how each part relates to an algebra equation.
\n" ); document.write( "Lets call the number x
\n" ); document.write( "The first part of the sentence reads \"3 times a number\"
\n" ); document.write( "times means multiply so the first part of our equation is
\n" ); document.write( "3x
\n" ); document.write( "The next part tells us \"increased by 7\"
\n" ); document.write( "if you increase something you are adding to it
\n" ); document.write( "so now we have
\n" ); document.write( "3x + 7
\n" ); document.write( "The last part of the sentence says \"is 19\"
\n" ); document.write( "The word \"is\" tells us we need an equal sign
\n" ); document.write( "so now we have the complete equation
\n" ); document.write( "3x + 7 = 19
\n" ); document.write( "Lets solve for x
\n" ); document.write( "first subtract 7 from both sides
\n" ); document.write( "3x + 7 - 7 = 19 - 7
\n" ); document.write( "3x = 12
\n" ); document.write( "next divide both sides by 3
\n" ); document.write( "3x/3 = 12/3
\n" ); document.write( "x = 4
\n" ); document.write( "Answer: The number is 4
\n" ); document.write( "check the answer by replacing x with 4
\n" ); document.write( "3x + 7 = 19
\n" ); document.write( "3(4) + 7 = 19
\n" ); document.write( "12 + 7 = 19
\n" ); document.write( "19 = 19
\n" ); document.write( " \n" ); document.write( "
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