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

Find The Values Of U And Y In The Following Matrix Subtraction class=

Sagot :

Given the matrix:

[tex]\begin{bmatrix}{5} & {} & {} \\ {x} & {} & {} \\ -{1} & {} & {}\end{bmatrix}-\begin{bmatrix}{-3} & {} & {} \\ {2} & {} & {} \\ {y} & {} & {}\end{bmatrix}=\begin{bmatrix}{8} & {} & {} \\ {-5} & {} & {} \\ {-6} & {} & {}\end{bmatrix}[/tex]

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:

[tex]\begin{gathered} \frac{-y}{-1}=\frac{-5}{-1} \\ \\ y=5 \end{gathered}[/tex]

ANSWER:

• x = -3

• y = 5

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