Question

By inspection, state whether the following system has one, none, or infinitely many solutions.

6x + 2y = 10
3x + y = 5

Answer 1

infinite solutions

Explanation:

Multiply the second equation by 2

6x + 2y = 10

3x + y = 5

6x+2y = 10

This is identical to the first equation

This means there are infinite solutions