Question

Find the values of u and y in the following matrix subtraction.

Answer 1

Given the matrix:

`\begin{bmatrix}{5} & {} & {} \\ {x} & {} & {} \\ -{1} & {} & {}\end{bmatrix}-\begin{bmatrix}{-3} & {} & {} \\ {2} & {} & {} \\ {y} & {} & {}\end{bmatrix}=\begin{bmatrix}{8} & {} & {} \\ {-5} & {} & {} \\ {-6} & {} & {}\end{bmatrix}`

Let's find the values of x and yin the following matrix substitution.

To find the values of x and y, subtract the rows from each other.

We have the equations:

• x - 2 = -5

• -1 - y = -6

For x, we have:

• x - 2 = -5

Add 2 to both sides:

x - 2 + 2 = -5 + 2

x = -3

• For y, we have:

-1 - y = -6

Add 1 to both sides:

-1 + 1 - y = -6 + 1

-y = -5

Divide both sides by -1:

`\begin{gathered} (-y)/(-1)=(-5)/(-1) \\ \\ y=5 \end{gathered}`

ANSWER:

• x = -3

• y = 5