If $3\left|x\right|+5\left|y\right|=8$ and $7\left|x\right|-3\left|y\right|=48$, then the value of $x+y$ is: 

In the figure, $\mathrm{ABCD}$ is a rectangle. Find the value of $x$ and $y.$ Then, write the value of $x^2+y^2$ as final answer.

Taxi charges in a city consist of fixed charges per day and the remaining depending upon the distance travelled in kilometres. If a person travels $110 \mathrm{km}$, he pays $₹690,$ and for travelling he pays $₹1050$. If the fixed charges per day is $₹x$ and the rate per km is $₹y$, then find the value of $x+y$ ?

One equation of a pair of dependent linear equations is $-5x+7y=2$

The second equation can be: