w + 3x = 7y solve for y
Understand the Problem
The question is asking to solve the equation 'w + 3x = 7y' for the variable 'y'. This will involve isolating 'y' on one side of the equation.
Answer
The final expression for 'y' is: $$ y = \frac{w + 3x}{7} $$
Answer for screen readers
The solution for 'y' is:
$$ y = \frac{w + 3x}{7} $$
Steps to Solve
- Identify the equation to work with
We start with the equation given in the problem:
$$ w + 3x = 7y $$
- Isolate the term containing 'y'
Next, we will move all other terms to the opposite side of the equation. To do this, subtract $w + 3x$ from both sides:
$$ 7y = w + 3x $$
- Solve for 'y'
Now, we divide by $7$ to solve for $y$:
$$ y = \frac{w + 3x}{7} $$
The solution for 'y' is:
$$ y = \frac{w + 3x}{7} $$
More Information
This result shows how 'y' depends on the values of 'w' and 'x'. By isolating 'y', we can now easily compute its value for any specific values of 'w' and 'x'.
Tips
- A common mistake is to forget to divide by $7$ when isolating 'y'. Ensure to carry this step out to obtain the correct formula.
- Another mistake might be misplacing terms when rearranging the equation. Carefully follow the steps to avoid errors in moving terms.
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