Solve this equation.

[2x 3 3z]=[5 3y 9]

To solve the equation [2x 3 3z] = [5 3y 9], we need to set the corresponding components equal to each other.

Equating the x-components, we have:
2x = 5

Equating the y-components, we have:
3 = 3y

Equating the z-components, we have:
3z = 9

Now let's solve each of these equations:

1. Solving for x:
Divide both sides of the equation "2x = 5" by 2:
x = 5/2
x = 2.5

2. Solving for y:
Divide both sides of the equation "3 = 3y" by 3:
y = 1

3. Solving for z:
Divide both sides of the equation "3z = 9" by 3:
z = 9/3
z = 3

Therefore, the solution to the equation [2x 3 3z] = [5 3y 9] is x = 2.5, y = 1, and z = 3.

To solve the equation [2x 3 3z] = [5 3y 9], we need to compare the corresponding entries.

Comparing the x-terms, we have:

2x = 5

To solve for x, divide both sides of the equation by 2:

x = 5/2

Comparing the y-terms, we have:

3 = 3y

To solve for y, divide both sides of the equation by 3:

1 = y

Comparing the z-terms, we have:

3z = 9

To solve for z, divide both sides of the equation by 3:

z = 9/3

Simplifying this:

z = 3

Therefore, the solution to the equation is x = 5/2, y = 1, and z = 3.