When 3 times the larger of the number is divided by the smaller, the quotient and remainder are 2 and 7 respectively. form a linear equations in two variables. write it in standard form.
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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.
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