Systems of Equations

What three methods can you use to solve systems of equations?

• Graphing

• Slope-Intercept Form

• Substitution

• Elimination

Answer explanation

The three methods are:

- Graphing

- Elimination

- Substitution

If a system of equations has no solution, what does the graph look like? 

• skew lines

• parallel lines
• intersecting lines

• straight lines

If a system of linear equations has one solution, what does the graph look like?

• parallel lines

• the same line 
• intersecting lines

• straight lines

What is the solution to the following system of equations?

• (-4,4)

• (0,2)

• (-1,7)

• (0,8)

Answer explanation

The two lines intersect at the point (-1,7).

What is the solution to the following system of equations?

• (3,-2)

• (0,-3)

• (2,1)

• (4,-4)

Answer explanation

The two lines intersect at the point (3, -2).

What is the solution to the following system of equations?

• (0,2)

• (-2,-3)

• (0,3)

• No solution

Answer explanation

These are parallel lines:

- There is no intersection point because the lines NEVER cross.

-No solution

What is the solution to the following system of equations?

• (0,-1)

• (-3,-3)

• (0,-4)

• (3,1)

Answer explanation

The two lines intersect at the point (-3,-3).

Solve the system of equation using the elimination method.   

• (-3,0)

• (-3,2)

• (-1,2)

• (-2,-1)

Answer explanation

The correct answer is (-3,2).

Use your graphic organizer or ask for help if you have additional questions.

Solve the system of equation using the elimination method.

• (3,1)

• (5,2)

• (0,0)

• (4,2)

Answer explanation

The correct answer is (0,0).

Use your graphic organizer of ask for help if you have additional questions.

Solve the system of equation using the elimination method.

• (-3,3)

• (2,-2)

• (2,-3)

• (3,3)

Answer explanation

The correct answer is (-3,3).

Use your graphic organizer or ask for help if you have additional questions.