Six less than nine times a number x is eight more than twice the number. Set up an equation to model the situation. What is the number? SHOW YOUR WORK.

Answer 1

The equation is #9x-6=2x+8#
The answer is #x=2#

Since the first part of the sentence says "six less than nine times a number (x)," that means that six is being subtracted from something. Nine times a number (x) would be 9x, so six less than that would be 9x-6.

Moving on to the second half, it says "eight more than twice the number (x)." Eight more means that the 9x-6 is eight more than twice the number x. Twice a number would be adding it to itself, or multiplying it by 2. Thus, the question is essentially saying that 9x-6 is eight more than 2x. You can write the equation as 9x-6-8=2x, or you can write it as 9x-6=2x+8 because 2x is equal to 8 less than 9x-6.

Solve the equation:

#9x=2x+14 rarr# Add 6 to each side
#7x=14 rarr# Subtract 2x from each side
#x=2 rarr# Divide each side by 7
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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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