Question

Worth 33 points!

What is the solution to the system of equations shown in the graph?
(1, -3)
(0, 2)
(-2, 0)
(-3, 1)​

Answer 1

• (-3, 1)

Explanation:

Note: The solution of a graph is the intersection of 2 lines.

Plotting the solution on the graph:

To plot the solution on the graph,

1. Look for the intersection point of the two lines.
2. Make a dot on the graph to represent the solution.

Identifying a solution on the graph:

To identify the solution, you willl need to determine it's coordinates.

1. Determine the x and y coordinate by drawing a line going downwards and rightwards. Keep in mind that the intersection of the lines on the x and y axis are the x and y coordinates repectively.

• (It is suggested that the line should be drawn with a ruler).

2. The x and y coordinate obtained should be put in (x,y) form.

Determining the solution on the graph:

⇒ Intersection point: (x, y) = (x = -3; y = 1) = (-3, 1) [Refer to image]

Answer 2

(-3,1)

Explanation:

As their are two lines so these are simultaneous linear equations

• The solution is the point or coordinate at which they intersect with each other

Hence this is (-3,1)