Solve Linear Systems - Basic Elimination

Solve Linear Systems

- Basic Elimination

Elimination

Goal #1

• have variables lined up

Goal #2

• have opposites on at least one variable

Multiple Select

If you were to add these two equations vertically, what would you get? $$3x-y=11$$

$$x+y=5$$

• 4x + y = 16

• 4x = 16

• 2x = 6

• 2x - 2y = 6

This is elimination

​ADD VERTICALLY TO GET

• x + 3x = 4x

• y - y = 0

• 5 + 11 = 16

• Leaves you with 4x = 16

• What is the value of x?

Multiple Select

Solve the system of equations using elimination $$x+y=5$$  

$$3x-y=11$$  

• (4, 3)

• (4, 1)

• (-4, 9)

• (-4, 1)

Multiple Select

What are the two features we look for to be able to solve linear systems using elimination?

• Variables and constants lined up

• Whole number coefficients

• Equations written in standard form

• Opposites on at least one variable

Multiple Choice

When we opposite variables and the variables and constants are lined up, our next step to solve using elimination is to

• Add vertically

• Just hope it goes away

• Phone a friend

• Put your right hand in, pull your right hand out, put your right hand in and shake it all about