Solving System of Equations by Graphing

Multiple Choice

What does the term 'solution' refer to in the context of a system of equations?

• The point where the graph intersects

• The slope of the line

• The y-intercept of the line

• The number of equations in the system

Open Ended

Explain how you can determine the number of solutions to a system of equations by looking at its graph.

Multiple Choice

What type of graph represents a system of equations with infinitely many solutions?

• Intersecting lines

• Same line

• Parallel lines

• Perpendicular lines

Multiple Choice

Which of the following best describes the solution to the system of equations y = 1/2x and x + y = 3 as shown in the graph?

• No solution

• One solution

• Infinitely many solutions

• Cannot be determined

Multiple Choice

Which of the following pairs (x, y) is the solution to the system of equations y = 3x - 5 and y = -x + 7?

• (3, 4)

• (2, 5)

• (4, 3)

• (1, 2)

Multiple Select

Select all the steps required to solve the system 4x - 2y = 6 and 6x + 4y = 16 using a table.

• Substitute values of x into both equations to find y

• Graph both equations on the same coordinate plane

• Find the pair (x, y) that satisfies both equations

• Check if the lines are parallel

Open Ended

Reflecting on today's lesson, how would you explain the difference between a 'system of equations' and a 'solution' in your own words?