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The product of 5 and an unknown quantity is 35.

How could this be written with a variable?

5r = 35


Sagot :

The problem states that the product of 5 and an unknown quantity is 35. We can represent the unknown quantity by a variable, let's use [tex]\( r \)[/tex].

So, we can write the equation as:
[tex]\[ 5r = 35 \][/tex]

To solve for [tex]\( r \)[/tex], we need to isolate [tex]\( r \)[/tex]. Here's how we do it step-by-step:

1. Identify the operation: Currently, 5 is multiplied by [tex]\( r \)[/tex].
2. Apply the inverse operation: To isolate [tex]\( r \)[/tex], we need to undo the multiplication by dividing both sides of the equation by 5.

Thus, we perform the division:
[tex]\[ r = \frac{35}{5} \][/tex]

3. Simplify the right side:
[tex]\[ r = 7 \][/tex]

Therefore, the value of the unknown quantity [tex]\( r \)[/tex] is:
[tex]\[ r = 7 \][/tex]
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