Question

Consider the system of equations3x + 4y = 172x - y = 4The solution of this system is x = 3, y = 2, which can also be written as (3,2).What do you think it means for x = 3, y = 2 to be the solution of this system?

Answer 1

Notice that both of the equations of the system represent a straight line.

For (3,2) to be the solution, it means that both lines intersect at point (3,2)

Let's take a look at the graph of both lines and their intersection: