Solve this system of equations without graphing. 5x+4y=24 and 2x-8y=36

x= 7

y= -2.75

Step-by-step explanation:

It's a system of equations so you have to use elmination to get a varibale.

I elminiated the y by multipling 5x+4y=24 by 2 and combining the two equations.

So now we are on 12x= 84. solve

x=7

plug it back into any formula, I chose 2x-8y=36 and solve for y

and you get the answer, Voila!

5x + 4y = 24 (-4/5y + 24/5)

2x - 8y = 36 (4y + 18)

Step-by-step explanation:

Add -4y to both sides 1) 5x + 4y (-4y) = 24 (-4b)

Divide both sides by 5 2) 5x/5 = -4y+24/5

3) x = -4/5y + 24/5

Add 8y to both sides 1) 2x - 8y (8y) = 36 (8y)

Divide both sides by 2 2) 2x/2 = (8y + 36)/2

3) 4y +18

x=half

step-by-step explanation:

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'.