Chapter 5.5, Problem 23P

Write each equation in standard form using integers.

$y+6=-3(x+1)$

To determine

To write: The provided equation in standard form.

Answer to Problem 23P

The equation is $3x+y=-9$ .

Explanation of Solution

Given:

The equation is:

  $y+6=-3\left(x+1\right)$

Concept used:

The standard form of the equation is:

  $\begin{array}{l}ax+by=c\\ a,b\text{ and }c\text{ are real numbers}\end{array}$

Calculation:

The provided equation could be simplified as:

  $\begin{array}{l}y+6=-3\left(x+1\right)\\ y+6=-3x-3\\ 3x+y=-3-6\\ 3x+y=-9\end{array}$

Thus, the equation in standard form is: $3x+y=-9$ .