QUESTION IMAGE
Question
b. $8x + y = 3$
$-8x - y = 3$
Step1: Add the two equations
We have the system of equations:
\[
$$\begin{cases}
8x + y = 3 \\
-8x - y = 3
\end{cases}$$
\]
Adding the left - hand sides and the right - hand sides of the two equations respectively:
\((8x + y)+(-8x - y)=3 + 3\)
Simplify the left - hand side: \(8x + y-8x - y=(8x-8x)+(y - y)=0\)
The right - hand side is \(6\). So we get \(0 = 6\).
Step2: Analyze the result
The equation \(0 = 6\) is a contradiction, which means that there are no values of \(x\) and \(y\) that can satisfy both equations simultaneously.
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No solution (the system of equations is inconsistent)