Solve the system by elimination. − 2 x + 2 y + 3 z = 0 − 2 x − y + z = − 3 2 x + 3 y + 3 z = 5

Step-by-step explanation:

we have

----> equation A

 -----> equation B

----> equation C  

adds equation A and equation C

-----> equation D

adds equation B and equation C

-----> equation E

we have the system

-----> equation D

-----> equation E

Multiply equation E by -1.5 both sides

-----> equation F

adds equation D and equation F

Find the value of z

substitute the value of y in equation E (or substitute in equation D)

Find the value of x

substitute the value of y and z in equation A (or equation B or C)

therefore

The solution of the system of equations is

explanation:

remove parenthesis:

=

apply rule

=

multiply fractions:

=

=

divide:

=

mordancy.