Chapter 4.5, Problem 9CYU

To determine

To solve and check: the given equation

Answer to Problem 9CYU

The required solution is $k=5$

Explanation of Solution

Given: $1-2k=-9$

Calculation:

Consider the following equation:

  $1-2k=-9$.

The objective is to solve this equation, and check the solution.

Solve the above equation as follows:

  $1-2k=-9$ Write the original equation

  $1-2k-1=-9-1$ Subtract $1$ to both sides

  $-2k=-10$ Simplify

  $\frac{-2k}{-2}=\frac{-10}{-2}$ Divide both sides by $-2$

  $k=5$ .Simplify

Check the solution by substituting the answer $k=5$ into the original equation:

  $1-2k=-9$ Write original equation

  $1-2(5)=-9$ Replace $k$ with $5$

  $-9=-9$ . The Sentences is true.

Hence, it is clear that, the equation $1-2k=-9$ is True when $k=5$ .

Therefore, the solution is $k=5$ .

Conclusion:

The required solution is $k=5$