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
