Find the values of x and y that fit both the equation 2x - 3y = 8 − = and 4x + 3y = -2.

Step-by-step explanation:

In other words, solve the system

2x - 3y = 8

4x + 3y = -2

Let's use the method of elimination.  Mult. the first equation by -2:

-4x + 6y = -16

4x  + 3y = -2

         8y = -18, so y = -9/4.     If y = -9/4, then 2x - 3(-9/4) = 8, and:

2x + 27/4 = 8, or

2x + 27/4 = 32/4, or

2x  = 5/4, or

x = 5/8

Then the solution is (5/8, -9/4).

If this does not match any of the possible answer choices, please check to ensure that y ou have copied down this problem correctly.  Where do the "- =" symbols following the '8' come from?

answer: d. $20

step-by-step explanation:

just took the test

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'.