Question

Find values for the variables so that the following matrices are equal.

Answer 1

Given:

`\begin{bmatrix}{x} & {7y} \\ {z} & {20}\end{bmatrix}=\begin{bmatrix}{4} & {21} \\ {4} & {20}\end{bmatrix}`

Let's find the values of the variables so that the matrices are equal.

To find the values of the variables, divide the values of the result by the corresponding values of the main matrix.

We have:

• x = 4

• 7y = 21

Divide both sides by 7:

7y/7 = 21/7

y = 3

• z = 4

`\begin{gathered} \begin{bmatrix}{x=4} & {7y=21} \\ {z=4} & {20}\end{bmatrix} \\ \\ \begin{bmatrix}{4} & {7(3)} \\ {4} & {20}\end{bmatrix} \end{gathered}`

Therefore, we have:

• x = 4

,

• y = 3

,

• z = 4

ANSWER:

• x = 4

,

• y = 3

,

• z = 4