Question

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

3x + y = 7
4x + y = 7

Answer 1

One solution

Explanation:

By inspection, you can see that adding either 3x or 4x to y yields the same result of 7, meaning that x must be 0. If x is 0, y must be 7, meaning that this equation has only one solution. Hope this helps!