contestada

a and b are positive integers and 7a+5b=49. Find the values of a and b.

a and b are positive integers and 23a+17b=320. Find the values of a and b.

please hel you can get 30 points

Respuesta :

Solving a system of equations, it is found that the value of a is of -191.75 and the value of b is of 278.25.

What is a system of equations?

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In this problem, the equations are:

  • 7a + 5b = 49.
  • 23a + 17b = 320.

Multiplying the first equations by 17 and the second by -5, we have that the system is:

  • 119a + 85b = 833.
  • -115a - 85b = -1600.

Then, adding them:

4a = -767

a = -767/4

a = -191.75

Then:

[tex]b = \frac{49 - 7a}{5} = \frac{49 - 7(-191.75)}{5} = 278.25[/tex]

More can be learned about a system of equations at https://brainly.com/question/24342899

#SPJ1

Otras preguntas