Use the Echelon Method 1. Solve x + 3y = 7 3x + 4y = 11

Mathematics

1 answer:

Ludmilka [50]3 years ago

5 0

Answer:

x = 1 y = 2

Step-by-step explanation:

x + 3y = 7

- Subtract x from both sides.

3y = -x + 7

- Divide both sides by 3 to isolate the variable.

y = -1/3x + 7/3

- Plug the value of y into the other equation.

3x + 4(-1/3x + 7/3) = 11

3x - 4/3x + 28/3 = 11

- Add like terms.

5/3x + 28/3 = 11

5/3x = 5/3

x = 1

- Plug the value of x into the equation.

x + 3y = 7

(1) + 3y = 7

3y = 6

y = 2

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A sphere and a cylinder have the same radius, and the height of the cylinder is equal to its radius; which figure has the greate

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Answer:

The sphere has the greatest volume

Step-by-step explanation:

First note down the formula for volume of sphere and that for volume of a cylinder

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$=\pi r^2h$

Volume of the sphere

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Now from the question, the radius of the cylinder and sphere are equal.In addition, the radius of cylinder is equal to its height.This means that the radius of the sphere, the radius of the cylinder and the height of the cylinder are all equal

Hence,

lets take the radius of cylinder to be= x units

The radius of the sphere will be =x units

The height of the cylinder will be= x units

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