How would you set up this equation?

Question

The value of 29 is 17 fewer than 10 times a number.

Answer 1

To set up the equation based on the statement "The value of 29 is 17 fewer than 10 times a number," let's define the unknown number as \( x \).

From the statement, we can break it down into parts:

• "10 times a number" can be expressed as \( 10x \).
• "17 fewer than 10 times a number" means we subtract 17 from \( 10x \), which would be written as \( 10x - 17 \).
• Finally, the statement indicates that this value equals 29.

Putting it all together, we can set up the equation as follows:

\[ 29 = 10x - 17 \]

Now, this equation can be solved for the unknown number \( x \).

Answer 2

So, 10x - 17 = 29?

Answer 3

Yes, that's correct! The equation is:

\[ 10x - 17 = 29 \]

From here, you can solve for \( x \). Here are the steps to solve it:

1. Add 17 to both sides of the equation to isolate the term with \( x \):

\[ 10x - 17 + 17 = 29 + 17 \] \[ 10x = 46 \]

2. Now, divide both sides by 10 to solve for \( x \):

\[ x = \frac{46}{10} \] \[ x = 4.6 \]

Thus, the value of the number is \( 4.6 \).