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Debora [2.8K]
3 years ago
13

How do you solve the linear equation: 3x+2y=11 7x-y=3 By using the elimination method?!

Mathematics
1 answer:
AleksandrR [38]3 years ago
7 0

<span>
3x + 2y = 11</span>

<span />2(7x - y) = 2(3)

14x-2y=6

Adding both equations<span>
3x + 2y = 11</span>

<span>14x-2y=6</span>

<span>17x=17</span>

<span>x=1</span>

<span>substitute x = 1 in any equation</span>

<span>3(1) + 2y = 11</span>

<span>2y = 8</span>

<span>y = 4</span>

<span>Solution: x=1 y=4</span>

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Answer:

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4 years ago
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Valentin [98]

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Step-by-step explanation:

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3 years ago
A cylinder vase has a height of 10 inches and a diameter of 3 inches. If the water raises to 9/10 of the way to the top, approxi
goblinko [34]

Answer:

The volume of water in the vase is 64 in^3

Step-by-step explanation:

A cylinder vase has a height, h, of 10 inches and its diameter of 3 inches. This means that its radius, r, is:

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To find the volume of the water in the vase if the water raises to 9/10 of the way to the top, we first have to find the volume of the vase when it is filled with water and then, find 9/10 of that volume.

The volume of a cylinder is given as:

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The volume of the vase will be:

V = \pi * 1.5^2 * 10\\V = 70.69 in^3

Hence, the volume of the water in the vase when it is 9/10 filled is:

\frac{9}{10} * 70.69 = 63.62 in^3

Approximating to the nearest cubic inch, the volume of water in the vase is 64 in^3

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Step-by-step explanation:

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