Question

27 solve for y: -6x + 8y = -24 (make sure to start your answer with \y = \) (make sure you use the correct uppercase and lower case letters)

Explanation:

Step1: Isolate the term with y

We start with the equation \(-6x + 8y=-24\). First, we add \(6x\) to both sides of the equation to get the term with \(y\) by itself. So, \(8y = 6x-24\).

Step2: Solve for y

Next, we divide every term in the equation \(8y = 6x - 24\) by 8 to solve for \(y\). Dividing \(6x\) by 8 gives \(\frac{6}{8}x=\frac{3}{4}x\), and dividing \(- 24\) by 8 gives \(-3\). So, \(y=\frac{3}{4}x - 3\).

Answer:

\(y=\frac{3}{4}x-3\)