Respuesta :

The two numbers are found as 9 and 16.

What is explained as the linear equation in two variables?

  • A linear equation in 2 variables is one that is written in the form ax + by + c = 0,
  • where a, b, and c are real numbers and also the coefficients of x and y, i.e. a and b, are not equal to zero.
  • For example, 17x + 4y = 9 and -x + 6y = 12 are two-variable linear equations.

For the given questions;

Let the first number be 'a'.

Let the second number be 'b'.

Then, first number is seven less than a second number.

a = b - 7

Now, 5 times the first is 13 more than twice the second.

5a = 2b + 13

Put the value of a in above equation;

5(b - 7) = 2b + 13

Simplifying;

5b - 35 = 2b + 13

3b = 48

b = 16 (second number)

a = b - 7

a = 16 - 7

a = 9 (first number)

Therefore, the two number are found as 9 and 16.

To know more about the linear equation in two variables, here

https://brainly.com/question/13951177

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