The average age of Ina,Mina,and Dika is $x$ years. After $y$ years,what will be their average age?

Solve the following pair of equations: $(a \neq 0, b \neq 0)$
$\frac{2}{a} + \frac{3}{b} = 1$
$\frac{1}{a} + \frac{1}{b} = 1$

$A$ mother tells her son,"Five years ago,$I$ was five times as old as you were. After ten years,$I$ will be two times as old as you will be." Represent this situation as a pair of linear equations in two variables.

Solve the following pair of equations by the method of cross multiplication:
$ax + by - a + b = 0$
$bx - ay - a - b = 0$

Solve the following pair of linear equations in two variables using a graph: $x + y = 5$ and $5x - 2y = 4$.

Are the following pair of linear equations consistent? Justify your answer.
$2ax + by = a$
$4ax + 2by - 2a = 0$; $a, b \neq 0$