Understanding Systems of Equations

What is the primary method discussed for solving systems of equations in this section?

• Elimination

• Matrix Method

• Substitution

• Graphing

In the first example, what is the solution to the system of equations?

• (3, -2)

• (0, 1)

• (-2, 3)

• (1, 0)

What is the significance of the intersection point of two lines in a system?

• It is the midpoint of the lines

• It is the y-intercept of the system

• It is the solution to the system

• It is the average of the slopes

What is an inconsistent system?

• A system with infinite solutions

• A system with no solution

• A system with complex solutions

• A system with one solution

What does it mean when two lines intersect at every point?

• The system has no solution

• The system has one solution

• The system has infinite solutions

• The system is undefined

In the second example, what is the solution to the system of equations?

• (2, 0)

• (1, 1)

• (0, 2)

• (3, 3)

What is the slope of the second line in the second example?

• -2

• 1/2

• -1/2

• 2

How do you find the x-intercept of a line?

• Set x to zero and solve for y

• Find the slope of the line

• Set y to zero and solve for x

• Use the midpoint formula

What is the y-intercept of the second line in the final example?

• (2, 0)

• (0, 2)

• (-2, 0)

• (0, -2)

What happens when two lines are parallel?

• They do not intersect

• They form a right angle

• They have infinite intersections

• They intersect at one point