Question 1
To solve the equation \(4y = 3x\) for \(y\):
- Divide both sides by 4:
\[ y = \frac{3x}{4} \]
Alternatively, this can be written as \(y = \frac{3}{4}x\).
The correct answer is y = ¾ x.
Question 2
Let's check the process step-by-step:
-
Step 1:
\(2x + b - b = c - b\) is correct since we are subtracting \(b\) from both sides. -
Step 2:
\(2x = c - b\) is also correct as the \(b\) cancels out on the left side. -
Step 3:
The proposed step is \(2x - 2 = c - b - 2\), but this is incorrect. You should not subtract 2 from \(2x\) unless you intend to do so on both sides of the equation. -
Step 4:
The final statement \(x = \frac{c}{2} - b - 2\) is also incorrect because of the error made in Step 3.
From the analysis:
- There is no error in the process: False
- The process has an error from step 1 to step 2: False
- The process has an error from step 2 to step 3: True
- The process has an error from step 3 to step 4: True
So, the true statements are:
- The process has an error from step 2 to step 3.
- The process has an error from step 3 to step 4.