Chapter 9.2, Problem 9WE

To determine

To find: Thesolution of the given equations by using substitution method.

Answer to Problem 9WE

The solution of the given equations by using substitution method is $f=3\text{and }h=4$ .

Explanation of Solution

Given information:

The given equationsare,

  $\begin{array}{l}4f-3h=0\\ f+4h=19\end{array}$

The given equation can be writtenas,

  $\begin{array}{l}f+4h=19\\ f=19-4h\end{array}$

The another given equation is,

  $4f-3h=0$

Substitute $19-4h$ for $f$ .

  $\begin{array}{l}4\left(19-4h\right)-3h=0\\ 76-16h-3h=0\\ 76-19h=0\\ h=4\end{array}$

The value of $f$ is calculated as,

  $\begin{array}{c}f=19-4h\\ =19-4\left(4\right)\\ =3\end{array}$

Thus, the solution of the given equations by using substitution method is $f=3\text{and }h=4$ .