An ordered pair that is the best approximation of the exact solution is: A. (0.9, 2.4).
In order to determine the solution for the given system of equations, we would apply the substitution method. Based on the information provided above, we have the following system of equations:
y = 4x – 1 .......equation 1.
y = -3x + 5 .......equation 2.
By using the substitution method to substitute for y, we would set the two equations equal to one another;
4x - 1 = -3x + 5
4x + 3x = 5 + 1
7x = 6
x = 6/7
x = 0.8571 ≈ 0.9
For the value of y, we have:
y = 4x – 1
y = 4(0.8571) – 1
y = 2.4284 ≈ 2.4
In conclusion, we can logically deduce that an ordered pair that is the best approximation of the exact solution is (0.9, 2.4).
Complete Question:
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.
y = 4x – 1
y = -3x + 5
Which ordered pair is the best approximation of the exact solution
A. (0.9, 2.4)
B. (0.7, 1.8)
C. (0.6, 2.5)
D. (0.9, 2.1)