Pair of Linear ...

Solve the following pair of equations :

$$3\, -\, (x\, -\, 5)\, =\, y\, +\, 2$$
$$2\, (x\, +\, y)\, =\, 4\, -\, 3y$$

Solve : $$\displaystyle \frac{3}{x+y}+\displaystyle \frac{2}{x-y}= 2$$ and $$\displaystyle \frac{9}{x+y}-\displaystyle \frac{4}{x-y}= 1$$

Solve for $$x$$ and $$y$$:
$$mx \, -\, ny\, =\, m^{2}\, +\, n^{2}$$, $$x\, -\, y\, =\, 2n$$

$$2x\, -\, 3y\, -\, 3\, =\, 0$$
$$\displaystyle \frac{2x}{3}\, +\, 4y\, +\, \displaystyle \frac{1}{2}\, =\, 0$$

Solve, graphically, the following pairs of equations:

$$\displaystyle \frac{a}{x}\, -\, \displaystyle \frac{b}{y}\, =\, 0$$
$$\displaystyle \frac{ab^{2}}{x}\, +\, \displaystyle \frac{a^{2}b}{y}\, =\, a^{2} \, +\, b^{2}$$

Solve :
$$x\, +\, y\, =\, 2xy$$
$$x\, -\, y\, =\, 6xy$$

Solve graphically, the following pairs of equations:

Solve graphically, the following pairs of equations: