7/30/2019 Solving a System of Equations With 3 Variables and 3 Equations

1/2

Solving a system of equations with 3 variables and 3 equations

2 = 4 + 2 + = 1 + 3 = 11

+ + 2 = 4 2 = 4

+ 2 + = 1 + 3 = 11

Solution

( ________, __________ , ________ )

Solving a system of equations with 3 variables and 3 equations

+ = 1 + + 3 = 3 2 + 2 = 0

+ +

(

)(3)+

3 6 = 6

3 + 5 = 3

Solution

( ________, __________ , ________ )

7/30/2019 Solving a System of Equations With 3 Variables and 3 Equations

2/2

Solving a system of equations with 3

variables and 3 equations

2 + = 4

+ 3 = 11 4 + = 14

+

+

2 + = 4 2 + = 4+ 3 = 11 4 + = 143 + 2 = 15 6 = 18

= 3

3(3) + 2 = 159 + 2 = 15

2 = 6

= 3

2(3) (3) + = 46 3 + = 4

3 + = 4

= 1

Solution

(3, 3, 1)

Eliminate a variable.

Here, we eliminate z.

When you set up this

three variable systems,you want to eliminate

the same variable in

two different

combinations.