Question

Cassandra measured her height as 63 inches. That is 6 inches less than 3 times her younger brother’s height. How tall is her younger brother?

Write an equation in the form px+q=r to represent this problem.

(2 points)
x +
=

Answer 1

the three is correct but the -69 and 0 are not

Answer 2

Let \( x \) represent the height of Cassandra's younger brother in inches. According to the problem, Cassandra's height (63 inches) is 6 inches less than 3 times her brother's height.

We can express this relationship in the form of an equation:

\[
63 = 3x - 6
\]

To format it into the form \( px + q = r \), we can add 6 to both sides:

\[
63 + 6 = 3x
\]

Simplifying this gives:

\[
69 = 3x
\]

Now we can rewrite this equation as:

\[
3x - 69 = 0
\]

So the equation can also appear as:

\[
3x + (-69) = 0
\]

Thus, the final equation in the requested form \( px + q = r \) is:

\[
3x - 69 = 0
\]

And for the formatting you provided, it can be represented as:

\[
x + (-23) = 0 \quad (\text{if we divided everything by 3})
\]

However, to be precise to the format, you might want to follow:

\[
3x + (-69) = 0
\]

Feel free to choose based on your requirement!

Answer 3

Let's clarify the equation step-by-step.

1. We start with the information provided: Cassandra's height is 63 inches, which is 6 inches less than 3 times her younger brother's height.

2. Let \( x \) be the height of her younger brother in inches. The relationship can be written as:

\[
63 = 3x - 6
\]

3. To rearrange the equation into the form \( px + q = r \), we can add 6 to both sides:

\[
63 + 6 = 3x
\]

Simplifying this yields:

\[
69 = 3x
\]

4. Finally, we can rearrange this into the standard form of \( px + q = r \):

\[
3x - 69 = 0
\]

5. Alternatively, if we express it in the specified form of \( px + q = r \), we can simply write:

\[
3x + 0 = 69
\]

So the equation in the form \( px + q = r \) is:

\[
3x + 0 = 69
\]

Or, maintaining the structure while moving constants to one side:

\[
3x - 69 = 0
\]

In summary, the equation in the required format where \( p \) and \( q \) are coefficients, and \( r \) is a constant can be presented simply as:

\[
3x + 0 = 69
\]

Please let me know if you need further clarification!