StudyGPT Just Leveled Up – Say Hello to Knowee! 🚀
Knowee
Questions
Features
Study Tools

or what value of a would the following system of equations have infinitely many solutions?x - 2y = 153x - 6y = 5a

Question

🧐 Not the exact question you are looking for?Go ask a question

Solution

A system of equations has infinitely many solutions when the equations are equivalent, meaning they form the same line when graphed.

The given system of equations is:

  1. x - 2y = 15
  2. 3x - 6y = 5a

First, let's simplify the second equation by dividing every term by 3:

x - 2y = 5a/3

Now, for the system to have infinitely many solutions, the right-hand side of this equation must be equal to the right-hand side of the first equation. So, we set them equal to each other:

15 = 5a/3

To solve for a, we multiply both sides by 3:

45 = 5a

Finally, we divide both sides by 5 to solve for a:

a = 9

So, the system of equations would have infinitely many solutions when a = 9.

This problem has been solved

Upgrade your grade with Knowee

Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.