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JulsSmile [24]
3 years ago
13

1. Solve the system of equations algebraically.

Mathematics
2 answers:
goldfiish [28.3K]3 years ago
8 0
Hello,
Please, see the attached files.
Thanks.

Andrew [12]3 years ago
4 0
1. We can double the second equation to get: 2x - 6y = 6; and then add the equations together to get -y = 4, y = -4. We plug y in to get x - 3(-4) = 3, x = 15. The answer would be (15, -4)
2. We can subtract the two equations to eliminate y and get 2x = 12, x = 6. We can plug x in to the second equation to get 9 + 3y = 18, and 3y = 9, so y = 3. The answer would be (6, 3)
3. We add the first two equations to get 8x - 5y = -34, and then subtract the last two equations to get 3x - 2y = -13. We multiply the first by 2, and the second by 5, and then add them together. We get x = -3. We plug the x-value into the second equation to get -9 - 2y = -13, so y = 2. We plug both values into the third equation to get -9 - 2 - z = -6. -z = 5, z = -5.
---
Hope this helps!
==jding713==
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Which number in the set {6, 12, 18, 36} satisfies the equation below? 6x - 18 = 54
svp [43]

Answer:

12

Step-by-step explanation:

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Given: Triangle ABC, mmBC=24 cm, line segment AL- &lt; bisector
Furkat [3]

The value of line AL is 21. 51cm

<h3>How to determine the length</h3>

To find line AL,

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Now, let's find line AC

Sin angle B = line AC/24

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3x = 180-90

x = 30°

Angle B = 2 × 30 = 60°

Sin 60 = x/ 24

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Cross multiply

x = 24 × 0. 8660

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We have the angle of A  in the given triangle to be divide into two by the bisector, angle A = 15°

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Cos = adjacent/ line AL

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Line AL = 20. 78/ cos 15

Line AL = 20. 78 / 0. 9659

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Thus, the value of line AL is 21. 51cm

Learn more about trigonometry ratio here:

brainly.com/question/24349828

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