Question

when 5 times the larger of the two numbers is divided by the smaller the quotient and remainder are 2 and 9 respectively form a linear equation in two variables write it in standard form

Answer 1

Answer:Let the larger number be x

And the smaller number be y

Now,

Dividend = divisor x quotient + remainder

According to the question,

5x=2y+9

⟹2y=5x−9

⟹y=5x−92

By putting the values of x, you will obtain the corresponding values of y.

Hence, there can be a number of solutions for x and y.

A few ordered pairs are mentioned below,

(1,-2), (3,3), (-1,-7) and so on.

Thank you.