Question

look at each of the system of equations graphed below. determine the number of solutions each system will have. choose... choose... infinitely many solutions no solution one solution choose...

Explanation:

Step1: Analyze the first system (left graph)

The two lines in the left graph are parallel (same slope, different y - intercepts). For a system of linear equations \(y = m_1x + b_1\) and \(y=m_2x + b_2\), if \(m_1=m_2\) and \(b_1
eq b_2\), the lines are parallel and there is no solution.

Step2: Analyze the second system (right graph)

The two lines in the right graph intersect at a single point. For a system of linear equations with different slopes (\(m_1
eq m_2\)), the lines will intersect at exactly one point, so there is one solution.

Answer:

• Left system: No Solution
• Right system: One Solution