Question

Find the value of athat makes the ordered pair a solution of the equation.

$y=-3x-1;\left(a,5\right)$

Short answer

The value $a=-2$ would make the ordered pair $\left(a,5\right)$ a solution of the given equation.

Step-by-step solution

Step 1. Given Information.

An equation: $y=-3x-1$ and the point: $\left(a,5\right)$

Step 2. Calculation.

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

$\begin{array}{c}y=-3x-1(\text{Givenequation)}\\ 5=-3\left(a\right)-1\left(\text{Substituting}x=a\text{and}y=5\right)\\ 5=-3a-1\\ 5+1=-3a-1+1\left(\text{Adding\hspace{0.33em}1\hspace{0.33em}to\hspace{0.33em}each\hspace{0.33em}side}\right)\\ 6=-3a\\ -3a=6\left(\text{Switchingsides}\right)\\ \frac{-3a}{-3}=\frac{6}{-3}\left(\text{Dividingbothsidesby}-3\right)\\ a=-2\end{array}$

Therefore, the value of a would be $-2$.

Step 3. Conclusion.

The value of a would be $-2$.