The sum of two numbers is 125. Five times one number minus three times the other is 41. Determine the numbers using one single variable

Respuesta :

x = one number
125 - x = other number 
5x - 3(125 - x) = 41
==> 5x - 375 + 3x = 41
==> 8x = 416
==> x = 52, one number, and 
125-52 = 73, the other number.

The two numbers will be 52 and 73.

What is the linear system?

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

The sum of the two numbers is 125.

Five times one number minus three times the other is 41.

Let x and y be the two numbers. Then the equations will be

x + y = 125  ...1

5x - 3y = 41 ...2

Multiply equation 1 by 3 and add both equations. Then we have

8x = 416

 x = 52

Then the value of y will be

52 + y = 125

       y = 73

More about the linear system link is given below.

https://brainly.com/question/20379472

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