Solve the system of elimination -2x+2y+3z=0 -2x-y+z=-3 2x+3y+3z=5

x = 1 , y = 1 and z = 0

Step-by-step explanation:

-2x+2y+3z=0    (1)

-2x-y+z=-3     (2)

2x+3y+3z=5    (3)

To find the values of x,y and z

(3) - (2)⇒ 2y + 4z = 2

y + 2z = 1   (4)

(1) - (2)⇒ 3y +2z =3   ---(5)

(5) - (4)⇒ 2y = 2

y = 1

Substituting the value of y in (4) we get z =0

Substituting the value of y and z  in (1) we get x = 1

Therefore x = 1 , y = 1 and z = 0

this linear equation would have just one solution.

step-by-step explanation:

the reason why this would have one solution is that it is an expression with just one variable. since that variable is not raised to a power, it will always have just one solution.