Question

The system of equations y=3x+1/2 and y=1/5x-1 4/5 is shown on the graph below

What is a reasonable estimate for the solution
(0.7, -1.7)

(-1.7, 0.7)

(1.4, -3.3)

(-3.3, 1.4)

Answer 1

(0.7, –1.7), the first option.

Explanation:

Took the test.

Answer 2

The first answer in your list of possible options: (0.7, -1.7)

Explanation:

Notice that the crossing of the two lines takes place in the fourth quadrant, therefore since the solution to the system is the point where both lines intersect, the solution should have a positive x-value, and a negative y-value to belong to the fourth quadrant.

Then, we need to look at the tick mark labels for the horizontal and vertical axes. based on such, realize that the x value needs to be between the values 0.5 and 1, while the y-value needs to be between -1.5 and -2.

Therefore, (0.7, -1.7) is the closer value one can find from the graph.