document.write( "Question 558834: If x is nine less than seven and y is nine less seven, what is x less y? please explain \n" ); document.write( "
Algebra.Com's Answer #363226 by bucky(2189)![]() ![]() ![]() You can put this solution on YOUR website! Let's think about this one. You are told that x equals 9 less than 7. That means that x is equal to 7 minus 9. When you take 9 from 7 the result is -2. So you can say that x equals -2. In equation form this is: \n" ); document.write( ". \n" ); document.write( "x = 7 - 9 <---- this means 9 less than 7 \n" ); document.write( ". \n" ); document.write( "and this results in: \n" ); document.write( ". \n" ); document.write( "x = -2 \n" ); document.write( ". \n" ); document.write( "Next you are told that y equals 9 less 7. That means that y is equal to 9 minus 7. When you subtract 7 from 9 the result is +2. So you can say that y equals +2. In equation form this is: \n" ); document.write( ". \n" ); document.write( "y = 9 - 7 <----- this means 9 less 7 \n" ); document.write( ". \n" ); document.write( "and this results in: \n" ); document.write( ". \n" ); document.write( "y = +2 \n" ); document.write( ". \n" ); document.write( "Now you are asked, \"what is x less y?\" This means, \"what is x minus y?\" We can write the expression for x less y as: \n" ); document.write( ". \n" ); document.write( "x - y \n" ); document.write( ". \n" ); document.write( "and we can substitute -2 for its equal x and we can substitute +2 for its equal y and get the equation: \n" ); document.write( ". \n" ); document.write( "x - y = -2 - (+2) \n" ); document.write( ". \n" ); document.write( "Because the parentheses around the +2 are preceded by a minus sign, when you remove the parentheses you change the +2 to a -2. So the equation becomes: \n" ); document.write( ". \n" ); document.write( "x - y = -2 - 2 \n" ); document.write( ". \n" ); document.write( "and on the right side the -2 and -2 combine to -4. \n" ); document.write( ". \n" ); document.write( "So the answer to this problem is that x less y equals -4. \n" ); document.write( ". \n" ); document.write( "This problem is more an exercise in careful reading and interpreting what you are told than a matter of difficult mathematical procedures. 9 less than 7 is different from 9 less 7. The word \"than\" is a rather critical difference in terminology. \n" ); document.write( ". \n" ); document.write( "I hope this helps you to understand the problem a little better. \n" ); document.write( ". \n" ); document.write( " |