Question

When 5 times the larger of the two numbers is divided by the smaller the quotient and the remainder are 2 and 9 respectively, Form a linear equation in 2 variables.Write it in the standard form






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Answer 1

Answer:

$5x-2y=9$

Step-by-step explanation:

The relationship between dividend, divisor, quotient and remainder is ;

$dividend=divisor*quotient+remainder$

In our case,

Let x be the larger number, and y be the smaller number (2 variables)

Then;

$dividend= 5*x=5x\\divisor=y\\quotient=2\\remainder=9$

Substituting these in our equation we get;

$dividend=divisor*quotient+remainder\\5x=y*2+9\\5x=2y+9$

In standard from, the equation becomes

$5x-2y=9$