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goldenfox [79]
3 years ago
12

Y=2x-4 and x+2y=10 substitute y in the second equation. what is the resulting equation

Mathematics
2 answers:
4vir4ik [10]3 years ago
7 0
X + 2y = 10 becomes  x + 2(2x-4) = 10.  Thus, x + 4x - 8 = 10, and 5x = 18.
mojhsa [17]3 years ago
6 0
Hi there!

In order to solve for x and y here, we'll be using a cool thing called substitution! First, we'll substitute the value of y into the second equation.

Value of y = 2x - 4
Substituting: x + 2(2x - 4) = 10
Distribute: x + 4x - 8 = 10
Solve: 5x - 8 = 10
5x = 18
x = 18/5 or 3.6

Now, we'll use the value of x and substitute that in to the first equation and solve for y.

Value of x = 18/5 or 3.6
Substituting: y = 2(3.6) - 4
Solve: y = 7.2 - 4
y = 3.2 or 16/5

Hope this helps!! :)
If there's anything else that I can help you with, please let me know!
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galina1969 [7]

Answer:

The amount of money left for each section to spend from the budget in additional costs if they follow exact of the options is

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Step-by-step explanation:

We first calculate the amount left per section after following each of the options.

Budget $4,428.00

Option 1.

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Option 2

Repair and replace uniforms at $593.00 per section and spend $78.00 on music.

There are 4 sections, hence, total amount spent in this option:

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Amount left per section = (1978/4) = $494.5

Option 3

Repair uniforms at $287.00 per section, spend $856.00 for improving the acoustics in the band room, and spend $422.00 on music and repairing instruments.

There are 4 sections, hence, total amount spent in this option:

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x = \frac{16}{sin15} ≈ 61.8 ( to the nearest tenth )

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Zolol [24]
Hello :
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