Question

How do we find the values of x and y.

Answer 1

Given:

A matrix

`\begin{bmatrix}{10x} & {} \\ {18} & {}\end{bmatrix}=\begin{bmatrix}{4} & {} \\ {6y} & {}\end{bmatrix}`

Required:

To find the values of x and y.

Step-by-step explanation:

Two matrices are said to be equivalent matrices if they have the same rank.

The given matrices are equivalent, so their corresponding element will be equal.

`\begin{gathered} 10x=4 \\ x=(4)/(10) \\ x=(2)/(5) \end{gathered}`
`\begin{gathered} 18=6y \\ y=(18)/(6) \\ y=3 \end{gathered}`

Final Answer:

The values of x and y are as:

`\begin{gathered} x=(2)/(5) \\ y=3 \end{gathered}`