Question

How do you determine whether a linear system has one solution, many solutions, or no solution when given 4y = 11 - 3x and 3x + 2y = -5?

Answer 1

Only one solution

Explanation:

Well, if you want to know in details, just sketch the line according to the eqn. It will only intersect once
Since solving the eqn refers to the point of intersection, you'll see the, not only this eqn but all linear eqn can have only one root.