For a certain value of k, the system

3a + 4b = 7

6a + 4b = k + 3a

has infinitely many solutions (a,b). What is k?

Guest Aug 5, 2022

#2**0 **

Subtracting 3a from the second equation gives us \(3a + 4b = k\) and \(3a + 3b = 7\)

For the system to have an infinite amount of solutions, they must be the same line.

Can you take it from here?

BuilderBoi Aug 6, 2022