### Linear Equations

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:
$3x+y=8$
$6x+2y=16$
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.