Question

here is a system of equations.
\

$$\begin{cases} y = -x + 1 \\ y = -x - 1 \\end{cases}$$

graph the system. then write its solution. note that you can also answer
o solution\ or \infinitely many\ solutions.

Explanation:

Step1: Analyze the slopes and y-intercepts

The two equations are in slope - intercept form \(y = mx + b\), where \(m\) is the slope and \(b\) is the y - intercept. For the equation \(y=-x + 1\), the slope \(m_1=-1\) and the y - intercept \(b_1 = 1\). For the equation \(y=-x-1\), the slope \(m_2=-1\) and the y - intercept \(b_2=-1\).

Step2: Determine the relationship between the lines

Since the slopes of the two lines (\(m_1=m_2=-1\)) are equal and the y - intercepts (\(b_1
eq b_2\)) are different, the two lines are parallel. Parallel lines do not intersect.

Answer:

No solution