141k views
4 votes
Solve the equation 3x- 4y = 7 for y.

User Franza
by
9.0k points

1 Answer

4 votes

Final answer:

To solve the equation 3x - 4y = 7 for y, subtract 7 from 3x and then divide by 4, yielding y = (3x - 7) / 4.

Step-by-step explanation:

To solve the equation 3x - 4y = 7 for y, we want to isolate y on one side of the equation. Here's the step-by-step process:

  1. Start with the original equation: 3x - 4y = 7.
  2. Move the term with x to the other side by adding 4y to both sides of the equation: 3x = 4y + 7.
  3. Next, isolate y by subtracting 7 from both sides: 3x - 7 = 4y.
  4. Finally, divide both sides by 4 to solve for y: y = (3x - 7) / 4.

This gives us y as a function of x, showing that y is the dependent variable, while x is the independent variable, similar to the example where the year is the independent variable and the number of flu cases is the dependent variable.To solve the equation 3x - 4y = 7 for y, you need to isolate the variable y on one side of the equation. Here's how you can do it:

Start by subtracting 3x from both sides of the equation to get -4y = -3x + 7.

Next, divide both sides of the equation by -4 to solve for y: y = (-3x + 7) / -4.

Now, the equation is solved for y, and you can simplify the expression further if needed.

User TylerW
by
7.9k points