Final answer:
To solve for y in the equation 4x-3y=-19, subtract 4x from both sides and then divide by -3, arriving at y = (4/3)x + 19/3.
Step-by-step explanation:
To find the value of y when given the equation 4x-3y=-19, we have to isolate y. Here's how you can do it step-by-step:
- Start with the original equation: 4x - 3y = -19.
- Move the term 4x to the other side by subtracting it from both sides to get -3y = -4x - 19.
- Divide both sides of the equation by -3 to solve for y: y = (4/3)x + 19/3.
Now you have the value of y in terms of x, expressed as y = (4/3)x + 19/3.