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klio [65]
3 years ago
13

X+3y = 2

Mathematics
1 answer:
nalin [4]3 years ago
8 0

Answer:

The value of "x" is 5.

Step-by-step explanation:

In order to solve this system of equations, we first have to take the first equation and use it to represent "y" in terms of "x". We do that in the following way...

x + 3y = 2\\3y = 2 - x\\y = \frac{2}{3} - \frac{x}{3}

Now, we need to take the second equation and substitute "y" for the equivalent value in terms of "x". After doing this we will get the following equation, which we can solve to get the value of "x".

4x - 3y = 23\\4x-3(\frac{2}{3} - \frac{x}{3}) = 23\\4x - 2 + x = 23\\5x - 2= 23\\5x = 25\\x = 5

Therefore, the value of "x" is 5.

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Marco drove 75 miles in 1 2/3 hours. how many miles ca he drive in 1 hour?
GenaCL600 [577]

Answer:

  • <u>45 miles</u>

Explanation:

The distance driven is directly proportional to the time:

  • distance / time = K

Which can also be written as:

  • distance₁ / time₁ = distance₂ / time₂

Here you have:

  • distance₁ =75 miles
  • time₁ = 1 + 2/3  hours = (3 + 2) / 3 hours = 5/3 hours
  • distance₂ = x
  • time₂ = 1 hour

With that you can set up a proportion:

  • 75 miles / (5/3) hour = x₂ / 1 hour

Solving for x₂ you get:

  • x₂ = [75 miles] × 1 hour / (5/3 hour) = 3 × 75 / 5 miles = 45 miles
4 0
3 years ago
Which is the equation of the circle that has a diameter with endpoints located at (-2, 0) and (6, 6)?
Tpy6a [65]
(x-2)^2 + (y-3)^2 = 25


center is 2,3
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rad is 10/2 = 5


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Svet_ta [14]
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Distance between library and school = 0.9 miles
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3 years ago
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