Questions: y=3x-7 y=3x+1

y=3x-7 y=3x+1
Transcript text: $\begin{array}{l}y=3 x-7 \\ y=3 x+1\end{array}$
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Solution

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Solution Steps

To solve the system of linear equations given by \( y = 3x - 7 \) and \( y = 3x + 1 \), we need to find the values of \( x \) and \( y \) that satisfy both equations simultaneously. Since both equations have the same slope but different y-intercepts, they are parallel lines and do not intersect. Therefore, there is no solution to this system of equations.

Step 1: Analyze the System of Equations

The given system of equations is: \[ \begin{align_} y &= 3x - 7 \\ y &= 3x + 1 \end{align_} \] Both equations have the same slope of 3, indicating that the lines are parallel.

Step 2: Determine the Intersection

Since the lines are parallel, they do not intersect. Parallel lines with different y-intercepts do not have any common solution.

Final Answer

The system of equations has no solution. The lines are parallel and do not intersect. Therefore, the solution set is \(\boxed{\text{No Solution}}\).

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