Pair of Linear ...

Based on equations reducible to linear equations, Solve for x and y: $$6x + 5y = 8xy$$ and $$ 8x + 3y = 7xy$$

Based on equations reducible to linear equations
Solve for x and y: $$\dfrac {11}{2x}-\dfrac {9}{2y}=-\dfrac {23}{2}; \dfrac {3}{4x}+\dfrac {7}{15y}=\dfrac {23}{6}$$

Based on equations reducible to linear equations
Solve for x and y: $$9 + 25xy = 53x$$ and $$ 27 - 4xy = x$$

Based on equations reducible to linear equations
Solve for x and y $$\dfrac {2}{x}+\dfrac {3}{y}=2; \dfrac {1}{x}-\dfrac {1}{2y}=\dfrac {1}{3}$$

On the same axes, draw the graph of each of the following equations: $$2y-x = 8, 5y-x = 14, y- 2x = 1$$. Hence, obtain the vertices of the triangle so formed.

Solve graphically the pair of linear equations: $$4x - 3y + 4 = 0, 4x + 3y - 20 = 0$$. Find the area of the region bounded by these lines and $$x$$-axis

Based on equations reducible to linear equations
Solve for x and y: $$\dfrac {2}{x-1}+\dfrac {y-2}{4}=2; \dfrac {3}{2(x-1)}+\dfrac {2(y-2)}{5}=\dfrac {47}{20}$$

Based on equations reducible to linear equations
Solve for x and y $$\dfrac {1}{3x}-\dfrac {1}{7y}=\dfrac {2}{3}; \dfrac {1}{2x}-\dfrac {1}{3y}=\dfrac {1}{6}$$

Solve graphically the following pair of equations: $$x -y = 1, 2x + y= 8$$. Shade the area bounded by these lines and the y-axis