Pair of Linear ...

$$\displaystyle \begin{cases} \dfrac{3}{4}x-\dfrac{1}{2}y=12\\ \\ kx-2y=22 \end{cases}$$
If the above system of equations has no solution, find the value of $$k$$.

$$3x+y=19$$, and $$x+3y=1$$. Find the value of $$2x+2y$$.

Two bus tickets from city A to B and three tickets from city A to C cost Rs. 77 but three tickets from city A to B and two tickets from city A to C cost Rs. 73. What are the fares for cities B and C from A ?

A sum of $$Rs. 6.25$$ is made up of $$80$$ coins which are either $$10$$ paise or $$5$$ paise coins. The number of $$10$$ paise and $$5$$ paise coins are _____ and ____ respectively.

Srikant bought two cows for Rs. $$30000$$. By selling one at a loss of $$15\%$$ and the other at a gain of $$19\%$$, he found that selling price of both cows is the same. Find the cost price of each ( in Rs).

Solve the following pairs of equations.
$$4x-y-5=0$$; $$x+y-5=0$$

Solve  the following pairs of equations.
$$3x-y=0$$; $$x-2=0$$

Solve the following pairs of equations.
$$x-y=0$$; $$y+3=0$$

Solve  the following pairs of equations.
$$2x=y+1$$; $$x+2y-8=0$$

Solve  the following pairs of equations.
$$x+y=5$$; $$x-y=1$$