Question

How many solutions are there for the system of equations shown on the graph?

A coordinate plane is shown with two lines graphed. One line crosses the y axis at 3 and has a slope of negative 1. The other line crosses the y axis at 3 and has a slope of two thirds.

No solution
One solution
Two solutions
Infinitely many solutions

Answer 1

One Solution

Explanation:

Answer 2

One solution

Explanation:

we know that

The solution of the system of equations in the figure is equal to the intersection point both graphs

In this problem the intersection point is only one

therefore

The system of equations has one solution

The solution is the point
`(0,3)`