Chapter 9, Problem 35CR

To determine

To solve the system of equations algebraically.

Answer to Problem 35CR

The solution of the system of equations is $\left(5,4\right)$ .

Explanation of Solution

Given information:

The given equations are:

  $\begin{array}{l}\text{y}=4\\ \text{y}=3\text{x}-11\end{array}$

Calculation :

Since $\text{y}=4$ , substitute the value of $\text{y}$ in the second equation.

  $\begin{array}{l}\text{y}=3\text{x}-11\\ \text{4}=3\text{x}-11\left[\text{substitute the value of y}\right]\\ 4+11=3\text{x }\left[\text{Add both sides by 11}\right]\\ \text{x}=\frac{15}{3}\left[\text{Divide both sides by 3}\right]\\ \text{x}=5\end{array}$

Hence, the solution of the system of equations is $\left(5,4\right)$ .