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Chapter 1: Problem 17

If \(15-3 b=21\), what is the value of \(5-b\) ?

Short Answer

Expert verified
The value of \(5-b\) is 7.

Step by step solution

01

Solve for b in the given equation

We are given the equation: \(15-3 b=21\). To solve for \(b\), first subtract 15 from both sides of the equation: \[-3b = 21 - 15\] \[-3b = 6\] Now, divide by -3 on both sides to find the value of \(b\): \[b = \frac{6}{-3}\] \[b = -2\]
02

Calculate the value of 5 - b

Now that we have the value of \(b\) (-2), we can calculate the value of \(5-b\): \[5-b = 5 - (-2)\] Remember that subtracting a negative number is the same as adding the positive version of that number: \[5-b = 5 + 2\] \[5-b = 7\] Therefore, the value of \(5-b\) is 7.

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