Chapter 1.5, Problem 5E

To determine

To solve the literal equation for y .

Answer to Problem 5E

  $y=\frac{18-26x}{2}$

Explanation of Solution

Given:

Equation: $2y-18x=-26$

Concept used:

Literal equation is an equation is which one of the variable is entirely written in terms of the other.

It establishes a relationship between the variables.

Calculation:

Consider the given equation and follow the steps as below to find the literal equation of y :

  $\Rightarrow 2y-18x=-26$

Adding18x on both sides and simplifying,

  $\begin{array}{l}\Rightarrow 2y-18x+18x=-26+18x\\ \Rightarrow 2y=18-26x\end{array}$

Dividing 2 on both sides,

  $\begin{array}{l}\Rightarrow \frac{2y}{2}=\frac{18-26x}{2}\\ \Rightarrow y=\frac{18-26x}{2}\end{array}$

Conclusion:

Thus, the literal equation for y is $y=\frac{18-26x}{2}.$