Question

How do we find the values of x and y.

Answer 1

We are given the following equation in vector form:

`\begin{bmatrix}{5x} & {} \\ {20} & {}\end{bmatrix}=\begin{bmatrix}{3} & {} \\ {5y} & {}\end{bmatrix}`

To solve the equation we need to remember that two vectors are equal of the corresponding elements are equal. Therefore, we set equal the first elements:

`5x=3`

Now, we divide both sides by 5:

`x=(3)/(5)`

Now, we set equal the second elements:

`20=5y`

Now, we divide both sides by 5:

`\begin{gathered} (20)/(5)=y \\ \\ 4=y \end{gathered}`

Therefore, "x = 3/5" and "y = 4".