Question

matrix[2x_5y]+matrix[x-y_-6x]=matrix[6_2]

solve the following equation for x and y.

Answer 1

Conditions

matrix[2x_5y] + matrix[x-y_-6x] = matrix[6_2]

solve the following equation for $x$ and $y$.

Solution

$$\left\{ \begin{array}{l} 2x + x - y = 6 \\ 5y - 6x = 2 \end{array} \right.$$ $$\left\{ \begin{array}{l} 3x - y = 6 \\ 5y - 6x = 2 \end{array} \right.$$ $$3x = 6 + y$$ $$5y - 12 - 2y = 2$$ $$3y = 14$$ $$y = \frac{14}{3}$$ $$x = \frac{6 + y}{3} = \frac{32}{9}$$

Answer: $x = \frac{32}{9}, y = \frac{14}{3}$