Problem

Determine the value of 'x' given the value of 'y':
$3 x-4 y=-24$

Answer

Expert–verified
Hide Steps
Answer

The final answer is a function that can be used to find the value of 'x' for any given value of 'y'. The function is given by: \(\boxed{x = \frac{4y + 24}{3}}\).

Steps

Step 1 :Given the equation \(3x - 4y = -24\).

Step 2 :We are asked to find the value of 'x' given the value of 'y'.

Step 3 :Rearrange the equation to isolate 'x' on one side: \(3x = 4y + 24\).

Step 4 :Divide both sides by 3 to solve for 'x': \(x = \frac{4y + 24}{3}\).

Step 5 :The final answer is a function that can be used to find the value of 'x' for any given value of 'y'. The function is given by: \(\boxed{x = \frac{4y + 24}{3}}\).

link_gpt