Chapter 2.3, Problem 1P

Solve each equation. Check your answer.

$19-h-h=-13$

To determine

To Solve:The equation $19-h-h=-13$ and check the solution.

Answer to Problem 1P

The solution of the equation $19-h-h=-13$ is $h=16$ .

Explanation of Solution

Given information:

The equation $19-h-h=-13$

Concept and Formula Used:

Operation of variables. Properties of equality.

Calculation:

The given equation is

  $\begin{array}{l}19-h-h=-13\\ 19-2h=-13\left(\text{Combining the like terms}\right)\\ \text{Subtract 19 from both sides }\\ 19-2h-19=-13-19\left(\text{Subtraction property of equality}\right)\\ -2h=-32\left(\text{Simplify}\right)\\ \text{Divide both sides by -2}\\ \frac{-2h}{-2}\text{=}\frac{-32}{-2}\left(\text{Division property of equality}\right)\\ h=16\end{array}$

To check put the value of $h=16$ in the equation

  $\begin{array}{l}19-h-h=-13\\ 19-16-16\stackrel{?}{=}-13\\ 19-32\stackrel{?}{=}-13\\ -13=-13\\ \text{As LHS}=RHS\text{ therefore the solution is correct}\end{array}$

Conclusion:

The solution of the equation $19-h-h=-13$ is $h=16$ .