Pair of Linear ...

Solve the following pair of equations:

Solve the following pairs of linear equations, graphically :

Solve: $$\displaystyle \frac{3}{x}-\displaystyle \frac{2}{y}= 0$$ and $$\displaystyle \frac{2}{x}+\displaystyle \frac{5}{y}= 19$$. Hence, find $$a$$ if $$y= ax+3$$.

Solve the following pair of equations:

Solve: $$\displaystyle \frac{34}{3x+4y}+\displaystyle \frac{15}{3x-2y}= 5$$ and $$\displaystyle \frac{25}{3x-2y}-\displaystyle \frac{8.50}{3x+4y}= 4.5$$

Solve the following pair of equations:

Solve the following pair of equations :

Solve: $$\displaystyle \frac{20}{x+y}+\displaystyle \frac{3}{x-y}= 7$$ and $$\displaystyle \frac{8}{x-y}-\displaystyle \frac{15}{x+y}= 5$$

The sides of an equilateral triangle are given by $$x+3y$$;  $$3x+2y-2$$ and $$4x+\displaystyle \frac{1}{2}y+1$$ respectively. Find the lengths of the sides of the triangle.