Solving Systems of Linear Equations

What is the best first step to solve this system by elimination?

• Add the equations to eliminate y

• Multiply the first equation by 2

• Multiply the second equation by 2

• Add the equations to eliminate x

Solve the system by the elimination method.

Solve the system by the elimination method.

Solve the system by the elimination method.

The sum of two numbers is 22. The difference of two numbers is 6. Which system can be used to solve this problem?

What is the solution to the system?

• (0, 3)

• (1, -1)

• (-3, 1)

• (1, 3)

What is the solution?

• (1, -1)

• (-1, 1)

• (0, -2)

• (2, 0)

What is the solution?

• (2, 2)

• (3, 2)

• (3, 4)

• (2, 3)

When you graph the exact same equation twice,

• you will have no solution. 

• you will have one solution.

• you will have infinite solutions. 

• you will graph a giraffe. 

If a system of linear equations has one solution, what does this mean about the two lines? 

• Parallel lines

• the same line 

• Intersecting lines