Question

Which ordered pair is the best estimate for the solution of the

system of equations?
y = 0.25x +0.75
y = 0.75x - 1
(3.5, 1.6)
(1.6, 3.5)
(3.1, 1.9)
○ (1.9, 3.1)
y
5
4+
3+
2+
y = 0.25x +0.75 1+
y = 0.75x-1

Answer 1

(a) (3.5, 1.6)

Explanation:

The solution of the system of equations is the point where the lines cross. That point appears to be slightly above the middle of the grid square bounded horizontally by x=3 and x=4, and bounded vertically by y=1 and y=2.

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The solution ordered pair is (x-coordinate, y-coordinate). We observe that the x-coordinate is approximately 3.5, The y-coordinate is slightly more than 1.5, but not as great as 1.9. So, the approximate solution is ...

(x, y) ≈ (3.5, 1.6)

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The graphing calculator shows the solution is quite close to (3.5, 1.6).