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3 years ago

How to solve for 6x+3y=21 3x-7y=2

1 answer:

3 0

Hi there!

We can solve this equation by using the systems of equations.

We can do this by subtracting like terms from both equations using substitution.

First, let's find the value of y:

6x + 3y = 21
3y = -6x + 21
y = -2x + 7

Then, we should plug it into one of the equations:

3x - 7y = 2
3x - 7(-2x + 7) = 2
3x + 14x - 49 = 2
17x = 51
x = 3

Now, we solve for y by plugging the value of x into the equation:

3x - 7y = 2
3(3) - 7y = 2
9 - 7y = 2
-7y = -7
7y = 7
y = 1

There's your answers.

Hope this helps!

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Standard automobile license plates in a country display 2 numbers, followed by 2 letters, followed by 3 numbers. how many differ

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3 years ago

AYUDA CON ESTO!!! ALGUIEN PORFAVOR

Gre4nikov [31]

Answer:

Problem 1) frequency: 160 heartbeats per minute, period= 0.00625 minutes (or 0.375 seconds)

Problem 2) Runner B has the smallest period

Problem 3) The sound propagates faster via a solid than via air, then the sound of the train will arrive faster via the rails.

Step-by-step explanation:

The frequency of the football player is 160 heartbeats per minute.

The period is (using the equation you showed above):

$Period = \frac{1}{frequency} = \frac{1}{160} \,minutes= 0.00625\,\,minutes = 0.375\,\,seconds$

second problem:

Runner A does 200 loops in 60 minutes so his frequency is:

$\frac{200}{60} = \frac{10}{3} \approx 3.33$ loops per minute

then the period is: 0.3 minutes (does one loop in 0.3 minutes)

the other runner does 200 loops in 65 minutes, so his frequency is:

$\frac{200}{65} = \frac{40}{13} \approx 3.08$ loops per minute

then the period is:

$\frac{13}{40} =0.325\,\,\,minutes$

Therefore runner B has the smaller period

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3 years ago

Solve the equation 4/x=8

Veseljchak [2.6K]

Answer:

x = .5

Step-by-step explanation:

4 / x = 8

4 / .5 = 8

x = .5

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3 years ago

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Hope I helped! ( Smiles )

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3 years ago

What is the y-intercept of the line that is

DaniilM [7]

Answer:

The y-intercept of the line would be (C) 8

Step-by-step explanation:

The slope of the line with the equation y = -3x - 5 is -3. When figuring out a slope perpendicular to another line you would use the negative reciprocal of the slope which would lead to the slope of the line to be 1/3.

We know it passes through the point (-3,7), substituting x and y, we would then get our new equation, $(7) = \frac{1}{3}( -3) + b$ .

Solve the equation by multiplying -3 with 1/3 and the product would be -1. Add negative one on both sides and you would get 8 = b.

3 0

3 years ago