Question

How do you solve `[(2x, 3, 3z)]=[(5,3y,9)]`?

Answer 1

`x=5/2, y=1, z=3`

Explanation:

Set each "element" of the first matrix equal to the corresponding element of the second matrix.

`[color(blue)(2x)color(white)(aa)color(red)(3)color(white)(aa)color(green)(3z)]=[color(blue)(5)color(white)(aa)color(red)(3y)color(white)(aa)color(green)(9)]`

`color(blue)(2x)=color(blue)5 => color(blue)x=5/2`

`color(red)3=color(red)(3y) => color(red)y =1`

`color(green)(3z)=color(green)9 => color(green)z=3`