Linear Equations

If $$ a $$ and $$ b $$ are non-negative real numbers such that $$ a + 2b = 6 $$, then the average of the maximum an...

For some constant real numbers p,k and a , consider the following system of linear equations in x and y : px−4y=2, 3x...

The number of distinct integer solutions (x,y) of the equation |x+y|+|x−y|=2 , is ...

For some real numbers $$ a $$ and $$ b $$, the system of equations $$ x + y = 4 $$ and $$ (a + 5)x + (b^2 - 15)y = ...

A donation box can receive only cheques of ₹100, ₹250, and ₹500. On one good day, the donation box was found to contain ...