Solving Systems of Equations by Graphing

What defines a system of equations?

• A single equation with one variable

• Two or more equations that are worked with simultaneously

• An equation that has no solution

• An equation that has infinite solutions

When solving a system of equations by graphing, what does the solution represent?

• The y-intercept of the first line

• The slope of the second line

• The point where the two lines intersect

• The x-intercept of both lines

What is the solution to the first system of equations graphed in the video?

• (3, -4)

• (-1/2, 3)

• (2, 2)

• (0, 3)

What is the slope-intercept form of the equation -3x + 4y = 8?

• y = 3x + 8

• y = -3/4x + 2

• y = 3/4x + 2

• y = 4/3x - 2

What is the solution to a system of linear equations if the graphs of the equations are parallel lines?

• One unique solution

• No solution

• Infinitely many solutions

• Two solutions

Consider the system of equations: y = (3/4)x - 5 and -3x + 4y = 8. What type of solution does this system have?

• One unique solution

• No solution

• Infinitely many solutions

• Two solutions

Consider the system of equations: y = (-2/3)x + 1 and 2x + 3y = 3. What type of solution does this system have?

• No solution

• One unique solution

• Infinitely many solutions

• Two solutions

If two linear equations in a system represent the exact same line, how many solutions does the system have?

• No solution

• One unique solution

• Infinitely many solutions

• Two solutions