AR Elimination Method

Do Now: Solve the following systems by Elimination

1. -2x-9y=-25

   -4x-9y=-23

2. 7x+2y=24

   8x+2y=30

3. -7x+y=-19

   -2x+3y=-19
   
   
   

Solving Systems by Elimanation Method

The elimination method is a way to solve systems of equations by eliminating one variable at a time.

Laws to solving systems of equations with the elimination method!!!
1. Write both equations in standard form (Ax+By=C).
2. Make the coefficients of one variable opposites.
3. Add or subtract the equations to eliminate the variable with the
opposite coefficients.
4. Solve for the remaining variable.
5. Substitute the solution into one of the original equations to solve for the eliminated variable.

Example of Elimination Method: (We Do)

2x - 3y = 12

3x - 4y + 10 = 0

Multiple Choice

What form must the system be set up in to start to solve?

• y-intercept

• Slope

• standard

• point slope

Fill in the Blanks

According to the 2nd law, What must the Coefficient of one variable be?

Drag and Drop

What order of operation is used once the opposite variable is written​

Placeholder

Drag these tiles and drop them in the correct blank above

Multiply

Add

Subtract

Divide

Elimination Problem: We Do

x-2y=8
2x+y=5

​We Do

3x+2y=9
2x+6y=6

​Independent Practice

−6x + 5y = 1
6x + 4y = −10

Independent Practice
​−2x − 9y = −25
−4x − 9y = −23

Independent Practice ​

−4x − 15y = −17
−x + 5y = −13