goals

When an amount was distributed among $$14$$ boys, each of them got Rs. $$80$$ more than the amount received by each boy when the same amount is distributed equally among $$18$$ boys. What was the amount?

The number of values of $$k$$ for which the system of equations $$x + y = 2$$, $$kx + y = 4$$, $$x + ky = 5$$ has only one solution is _________.

Show graphically that each one of the following systems of equations has infinitely many solutions:

$$3x+y=8$$

$$6x+2y=16$$

$$3x+y=8$$

$$6x+2y=16$$

Solve : $$\dfrac { z+9 }{ 3\left( z+5 \right) } =-2$$

The greater of two numbers is 8 times the smaller and their sum is 180. Find the numbers.