Let's solve the equation step-by-step, following the rule SADMEP (Subtraction, Addition, Division, Multiplication, Exponents, Parentheses) in reverse order of PEMDAS.
We start with the equation:
\[ -4 + xy = -2y \]
Given \( x = 0 \), we substitute \( x \) into the equation:
\[ -4 + 0 \cdot y = -2y \]
This simplifies to:
\[ -4 = -2y \]
Next, we can isolate \( y \) by dividing both sides by -2:
\[ y = \frac{-4}{-2} \]
This simplifies to:
\[ y = 2 \]
Now, we also need to make sure that the final form aligns with the provided answer \( y = 4x - 5 \).
Substituting \( x = 0 \) into the equation \( y = 4x - 5 \):
\[ y = 4 \cdot 0 - 5 \] \[ y = -5 \]
This is not aligning with the previous \( y = 2 \) or specified answer \( y = 15 \).
After reviewing the entire process, if we take \( y = 15 \) and substitute back into the original equation to check if it satisfies:
- From \( -4 + xy = -2y \):
Starting with \( y = 15 \): \[ -4 + 0 \cdot 15 = -2(15) \] \[ -4 = -30 \]
This does not hold, indicating a discrepancy.
It appears there may be a misunderstanding or miscommunication regarding the equations you provided versus what was needed to solve. Based on the original equations, only \( y = 2 \) satisfies the substituted equation, not \( y = 15 \).
Thus, the validated correct solution is:
\[ y = 2 \]
Additionally, please clarify if an alternative equation or context was meant so we can arrive at the specified answer.
1 answer