System by Elimination Adding and Subtracting

Solve for x and y
3x + 2y = 16
7x + y = 19

• (-2,5)

• (-2,-5)

• (2,-5)

• (2,5)

Solve the system of Equation (x,y)
−4x + 9y = 9
x − 3y = −6 

• (-9,-5)

• (-5,9)

• (9,5)

• (-5,-9)

What is the solution to the system?

• (0, 3)

• (1, -1)

• (-3, 1)

• (1, 3)

Determine how many solutions the system has.

• One Solution

• No Solutions

• Infinitely Many Solutions

• Mikey is my friend.

What is the first step in solving a system of equations by elimination/matrices?

• Get both equations in standard form and line up the like terms.

• Get both equations in slope-intercept form.

• Get both equations equal to zero.

• Put the x terms first.

 4x + 8y =  20
-4x + 2y = -30

• (-7,1)

• (2,-5)

• (-2,5)

• (7,-1)

Solve using elimination.
7x + 2y = 24
8x + 2y = 30

• (6,-9)

• (-9,6)

• No solution

• Infinite number of solutions

a method to solving a system of equations by getting rid of one of the variables first to solve for the other variable. 

• Systems by Graphing

• Systems by Substitution

• Systems by Elimination

• Systems by Drawing

6x + 7y = -15

6x - 2y = 12

which variable should be "eliminated" first?

• x

• y

Solve the following using elimination.
x − y = 11
2x + y = 19

• (-1, 10)

• (30, 19)

• (19, 30)

• (10, -1)