What is the solution to the question below?

choice 1) x = 2,3

Step-by-step explanation:

2x/(x - 2) - (x + 3)/(x - 4) = -4x/(x² - 6x + 8)

Factor x² - 6x + 8 into (x - 2)(x - 4):

2x/(x - 2) - (x + 3)/(x - 4) = -4x/(x - 2)(x - 4)

multiply both sides of the equation by (x - 2)(x - 4):

2x(x - 4) - (x + 3)(x - 2) = -4x

simplify:

2x² - 8x - x² + 2x - 3x + 6 = -4x

combine like terms:

x² -9x + 6 = -4x

add 4x to each side:

x² -5x + 6 = 0

factor:

(x - 3)(x - 2) = 0

x = 2, x = 3

for the friend request.

when a figure, such as triangle (xyz) is reflected over the line y = x to create x'y'z' the x-coordinates and y-coordinates of the original image (pre-image) will be reversed for the image. (e.g., (x, y) > (y, x)) this means that the pre-image position of the x- and y-coordinates switch places which in turn provides a mirror like image of the original xyz.  

i notice that when i draw a line segment from x to x', that the points are parallel from each other -- they are exactly across from each other and do not intersect with any other points.  

yes, think i would see the same characteristic if you drew the line segment connecting y with the reflecting line and then y' with the reflecting line because of the essence of reflections. because it is a mirror image, each point was effected the same way which leads me to conclude that they same would apply to y and y'.

answer: 88

step-by-step explanation: