Question

problem 3
here are the graphs of those two lines.
remember, a solution to a system of equations is a point you can find on both lines. this is where they intersect.
what is the solution to this system of equations?
(1,3)
(3,2)
(2,3)
(3,1)

Explanation:

Step1: Identify the intersection point

To find the solution to the system of equations, we need to determine the coordinates of the intersection point of the two lines. The x - coordinate is found by moving horizontally from the intersection point to the x - axis, and the y - coordinate is found by moving vertically from the intersection point to the y - axis.
Looking at the graph, the intersection point is at \(x = 2\) and \(y=3\) (by counting the grid squares or using the axis labels). So the coordinates of the intersection point (the solution) are \((2,3)\).

Step2: Match with the options

Now we check the given options:

• Option \((1,3)\): The x - coordinate is 1, which does not match our found x - coordinate of 2.
• Option \((3,2)\): The x - coordinate is 3 and y - coordinate is 2, which does not match.
• Option \((2,3)\): This matches the coordinates of the intersection point we found.
• Option \((3,1)\): The x - coordinate is 3 and y - coordinate is 1, which does not match.

Answer:

\((2,3)\) (corresponding to the option with \((2,3)\))