Question

How many solutions does this system have?

2x + y = 3
6x = 9 - 3y

Answer 1

My immediate response would be that it has two solutions because there are two variables.

Answer 2

Thanks another question :Which cannot describe a system of linear equations? (1 point)
no solution
exactly two solutions
infinite solutions
exactly one solution

Answer 3

There are infinitely many solutions, as the second equation is a linear combination of the first. A system of linear equations can have: no solution, one solution, or infinitely many solutions.

Answer 4

Thanks :)