Solving Systems of Linear Equations by Graphing

What is a system of linear equations?

• A set of two or more linear equations with the same variables

• A set of equations with different variables

• A quadratic equation with one variable

• A single linear equation with two variables

What is the solution to a system of linear equations?

• The slope of the second equation

• The x-intercept of the first equation

• The point where the graphs of the equations intersect

• The y-intercept of the first equation

What is the first step in solving a system of linear equations by graphing?

• Identify the point of intersection

• Graph each equation on the same coordinate plane

• Check the solution algebraically

• Solve for y in each equation

How do you verify the solution to a system of linear equations?

• By calculating the y-intercept of each line

• By checking if the ordered pair satisfies both equations

• By drawing the lines on graph paper

• By finding the slope of each line

In the example problem, what is the solution to the system of equations y = x + 1 and y = 2x - 7?

• (0, 0)

• (8, 9)

• (1, 1)

• (2, 3)

What is the point of intersection for the equations y = 2x + 5 and y = -4x - 1?

• (1, -1)

• (2, 5)

• (-1, 3)

• (0, 0)

In the practice problem, what is the solution to the system of equations y = -x + 2 and y = -4x - 7?

• (1, 1)

• (-3, 5)

• (2, -3)

• (0, 0)