Solve the system using elimination 6x-3y=15 and 7x+4y=10

1 answer:

8 0

6x - 3y = 15.....multiply by 4
7x + 4y = 10....multiply by 3
---------------
24x - 12y = 60 (result of multiplying by 4)
21x + 12y = 30 (result of multiplying by 3)
---------------add
45x = 90
x = 90/45
x = 2

6x - 3y = 15
6(2) - 3y = 15
12 - 3y = 15
-3y = 15 - 12
-3y = 3
y = -3/3
y = -1

solution is (2,-1) <==

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Step-by-step explanation:

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Find the altitude of a cylinder with with a radius of 9 and a surface area of approximately 791.68 units2.

Vika [28.1K]

In this question , it is given that we have a cylinder with with a radius of 9 and a surface area of approximately 791.68 units square.

The formula of surface area of cylinder is

$A= 2 \pi r^2 + 2 \pi r h$

Substituting the values of A and r, we will get

$791.68 = 2* \pi * 9^2 + 2 * \pi * 9*h
\\
791.68 = 162 \pi + 18 \pi h
\\
791.68 -162 \pi = 18 \pi h
\\
h = \frac{791.68 -162 \pi}{18 \pi}
\\
h =5 units$