Question

Consider the system of equations given in slope-intercept form. y = −1 3 x + 17, y = 5x - 23 The solution seems to be about (8, 14). Use the graphing calculator to find the exact values for the intersection point. What is the solution to this system of equations?

Answer 1

Answer:

$x = 8\frac{4}{7}$

$y = 14\frac{1}{7}$

Step-by-step explanation:

$y = -\frac{1}{3} x + 17$ . . . . . . . . . . . . . . . . equation (i)

$y = 5x - 23$   . . . . . . . . . . . . . . . . . equation (ii)

Subtracting equation (i) from equation (ii)

$0 = 5x - \frac{1}{3} x - 23 - 17$

$=> \frac{14}{3} x = 40$

∴ $x = \frac{3 . 40}{14} = 8\frac{4}{7}$

Putting the value of x into equation (i):

$y = 17 - \frac{20}{7} = \frac{99}{7} = 14\frac{1}{7}$

Answer 2

Answer:

(7.5, 14.5)

Step-by-step explanation:

Just took it on edge 2021.