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OLEGan [10]
2 years ago
11

What is the solution to this system of equations?

Mathematics
2 answers:
vovangra [49]2 years ago
7 0

3x + 2y=-10 equation 1

y=-x -4 equation 2

use the substitution method of elimination to get the answer to the question.

*using substitution

substitute equation 2 in one and we get

3x +2(-x-4)=-10

3x- 2x-8=-10

x=-2 and y=-2

Answer:

B

Anvisha [2.4K]2 years ago
3 0

Answer:  Choice A

(-2, -2)

=============================================================

Explanation:

I'll use the substitution method to solve this system.

Replace y in the first equation with -x-4. This is because y = -x-4 is mentioned in the second equation.

So,

3x + 2y = -10

3x + 2( y ) = -10

3x + 2( -x-4 ) = -10 .... substitution

3x - 2x - 8 = -10

x - 8 = -10

x = -10+8

x = -2

Then use this to find y

y = -x-4

y = -(x) - 4

y = -(-2) - 4

y = 2 - 4

y = -2

We have x = -2 and y = -2 pair up together

They form the ordered pair solution (x, y) = (-2, -2)

This shows why Choice A is the answer.

Another way to see this is to graph each equation given using a tool like Desmos. It's a free graphing app.

See below.

The two lines intersect at (-2, -2) which is the solution.

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Shtirlitz [24]

Answer:

Step-by-step explanation:

The problem states that there are only two types of busses - M104 and M6 with probable occurence of 0.6 and 0.4 respectively.

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Now consider a set of 3 M6 busses as an event. The average number of such events per hour will be

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The expected number of hours for the event "THIRD M6 arrives", let's say X is

E[X] = 1 / μ ( exponential distribution) = 3 / 0.4λ

= 7.5 / λ

The variance of event X is =

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6 0
3 years ago
Help more than 10 points
Drupady [299]
Ratio triangle height to square side 7:8
ratio triangle base to square side 1:2
Area of the square is 64 in² then the sides = 8 in

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h = 7(8)/8
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= 14

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3 0
4 years ago
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Y = 9x
y = 5x + 24

9x = 5x + 24
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x = 24/4
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y = 54

solution (6,54)....x = 6 and y = 54
8 0
4 years ago
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lisov135 [29]

The function is given f(x)=2^x+3.

Now let's solve for f(-2).

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