Guerrero Robbins
04/11/2024 · Primary School
Find \( x \) when \( y=4 \), if \( y=-8 \) when \( x=-3 \) \( y=4 \)
UpStudy ThothAI Solution
Tutor-Verified Answer
Step-by-step Solution
Given that \( y = 4 \) when \( x = -3 \) and \( y = -8 \) when \( x = -3 \), we can set up a system of equations to find the value of \( x \) when \( y = 4 \).
Let's denote the two equations as follows:
1. \( y = 4 \) when \( x = -3 \)
2. \( y = -8 \) when \( x = -3 \)
We can rewrite these equations in terms of \( x \) and \( y \) as:
1. \( y = 4 \) when \( x = -3 \) becomes \( y = 4 \)
2. \( y = -8 \) when \( x = -3 \) becomes \( y = -8 \)
Now, we have a system of equations:
\[
\begin{cases}
y = 4 \\
y = -8
\end{cases}
\]
To find the value of \( x \) when \( y = 4 \), we need to solve this system of equations. Let's solve it using the elimination method.
Solve the system of equations by following steps:
- step0: Solution:
\(\left\{ \begin{array}{l}y=4\\y=-8\end{array}\right.\)
- step1: Find the intersection:
\(y \in \varnothing \)
The system of equations does not have a solution, which means there is no value of \( x \) that satisfies both equations simultaneously. Therefore, there is no value of \( x \) when \( y = 4 \) based on the given information.
Quick Answer
There is no value of \( x \) when \( y = 4 \) based on the given information.
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