Chapter 8.2, Problem 35E

To determine

To find:

The value of a that makes the ordered pair $(-1,a)$ a solution of the given equation.

Answer to Problem 35E

The value $a=3$ would make the ordered pair $(-1,a)$ a solution of the given equation.

Explanation of Solution

Given:

An equation: $y=2x+5$

Calculation:

To find the value of a , we will substitute coordinates of given pointin our given equation and solve for a as:

  $\begin{array}{l}y=2x+5(\text{Given equation)}\\ a=2(-1)+5\left(\text{Substituting }x=-1\text{ and }y=a\right)\\ a=-2+5\\ a=3\end{array}$ .

Therefore, the value of a would be 3.