y=2.5x-5
y=-0.75x+5
Which of the following is the best estimate of the solution to the system of equations?
A. (2.5,1.1)
B. (1.3, 2.4)
C. (0, 3)
D. (4.6, 6.4)
To find the best estimate of the solution to the system of equations, we need to find the point where the two equations intersect. This point represents the solution to the system of equations.
Setting the two equations equal to each other, we get:
2.5x - 5 = -0.75x + 5
Adding 0.75x to both sides and adding 5 to both sides, we get:
3.25x = 10
Dividing by 3.25, we find:
x = 10/3.25 ≈ 3.08
Substituting this value of x into either of the original equations, we can find the corresponding y-value. Using the first equation:
y = 2.5(3.08) - 5
y = 7.7 - 5
y ≈ 2.7
So the best estimate of the solution to the system of equations is approximately (3.08, 2.7).
None of the given answer choices matches this result, so none of them are correct.