Dear beloved readers, welcome to our website! We hope your visit here brings you valuable insights and meaningful inspiration. Thank you for taking the time to stop by and explore the content we've prepared for you.
------------------------------------------------ Solve the system using Gaussian elimination:

1. [tex]0.75u + 2.25v = 3[/tex]
2. [tex]6u + 18v = 24[/tex]

This means the two equations represent the same line, and there are infinitely many solutions. The system of equations has infinitely many solutions.

To solve the system of equations using Gaussian elimination, we'll eliminate one variable at a time.
Here's the step-by-step process:
1. Start with the given system of equations:
0.75u + 2.25v = 3 (Equation 1)
6u + 18v = 24 (Equation 2)
2. Multiply Equation 1 by 8 to make the coefficients of u in both equations equal:
6u + 18v = 24 (Equation 1, after multiplication)
6u + 18v = 24 (Equation 2)
3. Subtract Equation 1 from Equation 2:
(6u + 18v) - (6u + 18v) = 24 - 24
0 = 0
4. The resulting equation, 0 = 0, indicates that the system of equations is dependent.
This means the two equations represent the same line, and there are infinitely many solutions.
Therefore, the system of equations has infinitely many solutions.

To know more about equations visit:

https://brainly.com/question/29538993

#SPJ11