Q:

Gina made tables of values to solve a system of equations. First, she found that the x-value of the solution was between 0 and 1, and then she found that it was between 0.5 and 1. Next, she made this table.x y = 4x – 1 y = –3x + 50.5 1 3.50.6 1.4 3.20.7 1.8 2.90.8 2.2 2.60.9 2.6 2.31.0 3 2Which ordered pair is the best approximation of the exact solutionA. (0.9, 2.4)B. (0.7, 1.8)C. (0.6, 2.5)D. (0.9, 2.1)

Accepted Solution

A:
we have that
y =Β  4x – 1Β 
y = –3x + 5

using a graph tool
see the attached figure

the exact solution is the point (0.857,2.429)
the answer is the optionΒ A. (0.9, 2.4)