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:

$x=\frac{3}{5}$

Now, we set equal the second elements:

$20=5y$

Now, we divide both sides by 5:

$\begin{gathered} \frac{20}{5}=y \\ \\ 4=y \end{gathered}$

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