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3 years ago

Which of the following is a solution to the system of equations? y= 3x-2 6 + y=-x

Mathematics

2 answers:

AlladinOne [14]3 years ago

3 0

Answer:

x=-1 y = -5

Step-by-step explanation:

y= 3x-2

6 + y=-x

Substitute the first equation into the second equation

6 +y =-x

6+ (3x-2) = -x

Combine like terms

4 + 3x = -x

Subtract 3x from each side

4 +3x -3x = -x -3x

4 = -4x

Divide by -4

4/-4 = -4x/-4

-1 =x

Now we need to find y

y= 3x-2

y = 3(-1) -2

= -3-2

= -5

DochEvi [55]3 years ago

3 0

Answer:

(-1, -5)

Step-by-step explanation:

We can solve this system using substitution. y = 3x - 2, so replace "y" in the second equation with "3x - 2:"

6 + (3x - 2) = -x, or 6 + 3x - 2 = -x

Group like terms together: 3x + x = -6 + 2.

Then 4x = -4, and x = -1.

Subst. -1 for x in the first equation: y = 3(-1) - 2, or y = -5.

Then the solution is (-1, -5).

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2 years ago

Which line is parallel to y = 2 and goes through the point (3, 4)?

yKpoI14uk [10]

Answer:

y = 4

Step-by-step explanation:

Since it's y = 2,

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3 years ago

PLEASE HURRY!!! What is the slope of the line that passes through (4, 5) and (8, -1)

Nitella [24]

Answer:

-1.5

Step-by-step explanation:

The slope of a line is given by the formula:

$m=\frac{y_2-y_1}{x_2-x_1}$

Let's let (4,5) be x₁ and y₁ and let's let (8,-1) be x₂ and y₂. So:

$m=\frac{-1-5}{8-4}$

Subtract:

$m=\frac{-6}{4}$

Reduce:

$m=-\frac{3}{2}=-1.5$

So, our slope is -3/2 or -1.5.

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3 years ago

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Evgen [1.6K]

Answer:

Mean (Average) 16.4125

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Step-by-step explanation:

Mean:10.1, 20.2, 16.7, 9.9, 10.1, 24.4, 19.9, 20.0 / 8 = 16.4125

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