-7y-4x=17y-2x=53
-4x=24y-2x=53
-2x=24y=53
24y+2x=53
You would have to solve one at a time.
y=53/24
y=2.21
x=53/2
x=26.5
Answer:
vol. of triangular prism = lbh/2
vol. of rectangular prism = 18 of vol. of triangular prism
18x = 18 + 14x
4x = 18
x=4.5 ft
so vol. of rectangular prism = 6 × 4 . 5 × 3 = 81 ftcube
Answer:
(-2, -4.5) is the answer!
I hope this helps!
If there are n people, each person could shake hands with 0 people, 1 person, 2 people,... on up to shaking hands with n − 1
people. Count how many different answers there are to asking the person the question "How many hands did you shake?" How many people are there? If the people are the pigeons, and the possible answers to the question "how many hands did you shake" are the holes, can we conclude anything yet? No? How about now noticing that at least one of the holes "I shook hands with noone" or "I shook hands with everyone" has to be empty... now what?
"Since there are more pigeons than holes there must be a hole with at least two pigeons in the same hole" Now, replace the word "pigeons" and "holes" with the appropriate terms for the context of your specific question, remember we are talking about people and number of handshakes they participated in.

Move all the x's to one side of the equation. This is a step necessary to solve this equation.
Subtract both sides by x.


Flip equation. We always want to have the variable written on the left side.

Subtract both sides by 26.


Divide both sides by 4 to finish this off.

That's your answer. Have an awesome day! :)