A party rental company has chairs and tables for rent. The total cost to rent 2 chairs and 3 tables is $23. The total cost to rent 6 chairs and 5 tables is $43. What is the cost to rent each chair and each table?

chairs: $1.75, tables: $6.50

Step-by-step explanation:

x is tables, y is chairs.

3x +2y=23

5x+6y=43

then:

9x+6y=69 ( multiply all by 3)

-5x-6x=-43 (multiply by -1)

Now add

4x=26

x=6.5

plug x back in to find y

3(6.5)+2y+=23

2y=3.5

y=1.75

Table = 6.50; Chair = 1.75

Step-by-step explanation:

2c + 3t = 23

6c + 5t = 43

Multiply the first equation by -3

-6c - 9t = -69

Then, add the following lines together:

-6c -9t = -69

6c +5t = 43

-4t = -26

t = -26/-4 = 6.5

Plug in the value of t into 2c +3t = 23

2c +19.5 = 23

Subtract 19.5 from both sides

2c = 3.5

c = 3.5/2 = 1.75

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'.

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step-by-step explanation:

i used the pitagoras theoreme