Question

Which is the best approximation for the solution of the system of equations?

y = x + 1
y = 3x – 2


(0.45, 0.88)
(0.88, 0.65)
(0.88, 1.1)
(1.3, 0.88)

Answer 1

(0.88, 0.65) or b

Explanation:

got it right on test

Answer 2

(1.3, 0.88)

Explanation:

The words "best approximation" imply that "they" are expecting you to draw the graphs and estimate the answer.

In the Figure below, the two lines appear to intersect near (1.5, 2.5).

I have also plotted the four points given in the options.

The red point at (1.3, 0.88) is closest to the point of intersection.

The best approximation for the solution of the system of equations

is (1.3, 0.88).