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3 years ago

use the substitution method to solve the system of equations choose the correct ordered pair x-y=2 2x+3y=14

Mathematics

1 answer:

k0ka [10]3 years ago

5 0

Answer:

(8/5 , -2/5)

Step-by-step explanation:

x-y=2

2x+3y=14

-y=-x+2

y=x-2

2x+3(x-2)=14

2x+3x-6=14

5x-6=14

5x=8

x=8/5

y=(8/5)-2

y= -2/5

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Which angles are coterminal with −6π5 ? Select each correct answer. 14π/5 −16π/5 −π/5 −11π/5

wariber [46]

ANSWER

$- \frac{16 \pi}{5} \: and \: \frac{14\pi}{5}$

EXPLANATION

Coterminal angles are angles in standard position that have the same terminal side.

To find an angle in standard position that is coterminal with

$- \frac{6 \pi}{5}$

We add or subtract multiples of
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The first addition gives,

$- \frac{6 \pi}{5} + 2 \pi = \frac{4 \pi}{5}$

We add the second multiple to get,

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Since this is the maximum value among the options, we end the addition here.

Let us now subtract the first multiple to get,

$- \frac{6 \pi}{5} - 2 \pi = - \frac{16 \pi}{5}$

We end the subtraction here because this is the least value among the options.

Therefore the angles that are coterminal with
$- \frac{6 \pi}{5}$
are

$- \frac{16 \pi}{5} \: and \: \frac{14\pi}{5}$

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prohojiy [21]

So the original price is "x".

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