6x + 12 = 10x − 4 1. Solve for x using two different methods

x=53/4 or 4x=53

Step-by-step explanation:

First move the variable to the left-hand side and change its sign.

6x+12-10x=-41 to 6x-10x=-41-12

Then collect the like terms

6x-10x=-41-12 to -4x=-41-12 which equals to -4x=-53

Now you divide both sides of the equation by -4

-4x=-53 to x=53 over 4 then if you want you divide which gives you x=13.25

Second way:

Kind of the same thing as the first one

Move the variable to the left-hand side and change its sign

6x+12=10x-41 to 6x=12-10x=-41

Then you collect the like terms

6x-10x=-41-12 to -4x=-41-12

Now you multiply both sides of the equation by -1

-4x=-53 to 4x=53

this is false ^.^ lol

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'.