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Delicious77 [7]
3 years ago
8

Solve the system of linear equations by substitution. 3x + y = -9 y=5x+7

Mathematics
1 answer:
11Alexandr11 [23.1K]3 years ago
8 0

Answer:

The solution is x = -2, y = -3

Step-by-step explanation:

Let's start with the equation 3x + y = -9

Substitute the y for 5x+7 seen in the second equation

Now you have 3x + (5x+7) = -9

Lets solve:

Let's add the x's

Now we have 8x + 7 = -9

Substracy seven from each side

Now we have 8x = -16

Now let's divide 8 on each side

Now we have x = -2

Now lets plug in -2 to the second equation

The second equation is y = 5x+7

When we plug in -2 we get y=5(-2)+7

We multiply

We now have y = -10+7

Add

y = -3

The solution is x = -2, y = -3

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3 years ago
When you flip a biased coin the probability of getting a tail is 0.34. Find the probability of getting a head.
koban [17]

Answer:

If you want to know what the probability is to get at least one Heads, then that is the same as the probability of all the events (100%, or 1) minus the probability of getting all Tails.

There are 100 coins. 99 are fair, 1 is biased with both sides as heads. With a fair coin, the probability of three heads is 0.53=1/8. The probability of picking the biased coin: P(biased coin)=1/100.

Step-by-step explanation:

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3 years ago
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Help with number 3!!
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The correct answer is B.30 inches
3 0
3 years ago
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(−m <br> 2<br> +6)+(−4m <br> 2<br> +7m+2)
dmitriy555 [2]

Following are calculation to the given eqution:

Given:

\bold{(-m^2+6)+(-4m^2+7m+2)}

To find:

Solve the equation.

Solution:

\to \bold{(-m^2+6)+(-4m^2+7m+2)}\\\\\to \bold{-m^2+6-4m^2+7m+2}\\\\\to \bold{-5m^2+7m+8}\\\\\to \bold{-1(5m^2-7m-8)}\\\\

Therefore, the final solution is "-1(5 m^2-7m-8)".

Learn more:

brainly.com/question/12685776

7 0
3 years ago
The length of the rectangle is twice its width. Write and solve a system of linear equations to find the length L and width W of
vazorg [7]

Answer:

The length is equal to 12 and the width is equal to 6.

Step-by-step explanation:

In order to find the values here, we start by setting the width equal to x. Now knowing this, we know that the length is twice that long. Therefore, the length would be equal to 2x. Now we can use the perimeter formula to solve the equation.

2L + 2W = P

2(2x) + 2(x) = P

4x + 2x = 36

6x = 36

x = 6

Now with the given value for x, we can tell that the width is 6 and then we multiply it by 2 to get the length value (12).

7 0
3 years ago
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