Question

20 POINTS!!!

The equations x + y = 6 and y equals the quantity x minus 6 end quantity over the quantity x minus 3 end quantity are represented in the graph.

Determine the solution(s) to the system of equations.

(2, 4) and (−6, 0)
(2, 4) and (6, 0)
(−2, −4) and (−6, 0)
(−2, −4) and (6, 0)

Answer 1

The points of intersection are (-2, -2) and (5, 5), so clearly y = x. This reduces the choices to the first and third ones.

Since x-4 is the denominator of all choices, its value at the point (5, 5) will be 1. Hence you need to find the choice that has a numerator of 5 when x=5.

The first choice has a numerator of -5-10 = -15, so that's not it.

The third choice has a numerator of -5+10 = 5, so that's the one you're looking for.

The best choice is the third one, ...

... y = negative x plus ten divided by the quantity x minus four , y = x

Explanation: