If x & 1 y & 2 - y & 1 8& 0 = 2 & 0 -x& 2… - Vidyadip

Question

If $\displaystyle \begin{vmatrix}\text{x} &\text{amp; } 1 \\ \text{y} &\text{amp; } 2 \end{vmatrix}-\displaystyle \begin{vmatrix}\text{y} &\text{amp; } 1 \\ 8&\text{amp; } 0\end{vmatrix}=\displaystyle \begin{vmatrix}2 &\text{amp; } 0 \\ \text{-x}&\text{amp; } 2\end{vmatrix}$ then the values of x and y respectively are:

5 and 1
5 and 3
5 and 2
3 and 4

✓

Answer

5 and 3

Solution:

x - y = 2

y - 8 = -x

Solving we get x = 5 and y = 3

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