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Nezavi [6.7K]
3 years ago
11

X+y=8 2x+y=2 Any one out there please help me out

Mathematics
1 answer:
DiKsa [7]3 years ago
8 0

Answer:

(- 6, 14 )

Step-by-step explanation:

Given the 2 equations

x + y = 8 → (1)

2x + y = 2 → (2)

Multiplying (1) by - 1 and adding to (2) will eliminate the y- term

- x - y = - 8 → (3)

Add (2) and (3) term by term to eliminate y, that is

x = - 6

Substitute x = - 6 into either of the 2 equations and evaluate for y

Substituting into (1)

- 6 + y = 8 ( add 6 to both sides )

y = 14

solution is (- 6, 14 )

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3 years ago
Find the point-slope equation for the line that passes through the points (-8,-32) and (3,1). Use the first point in your equati
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Hey there! :)

Answer:

y + 32 = 3(x + 8)

Step-by-step explanation:

Begin by finding the slope of the line using the slope formula:

m = \frac{\text{rise}}{\text{run}} = \frac{y_2 - y_1}{x_2 - x_1}

Plug in the coordinates of the points into the equation:

m = \frac{1 - (-32)}{3 - (-8)}

Simplify:

m = \frac{33}{11}

m = 3.

Point-slope form is:

y-y₁=m(x-x₁)

Plug in the coordinates of the first point, as well as the slope:

y - (-32) = 3(x - (-8)

y + 32 = 3(x + 8)

6 0
3 years ago
Read 2 more answers
Find the mean median mode and range of 2,2,6,15,38,39
svetlana [45]

Answer:

Mean is 17

Median is 10.5

Mode is 2

Range is 37

Step-by-step explanation:

<u>Mean is the average:  2 + 2 + 6 + 15 + 38 + 39 = 102 / 6 = 17 MEAN</u>

<u />

<u>Median is the middle:  2, 2, 6, 15, 38, 39</u>

Between 6 and 15 -> 15 - 6 = 9 / 2 = 4.5

6 + 4.5 = 10.5

Median is 10.5

<u>Mode is most common:  </u><u>2, 2</u><u>, 6, 15, 38, 39</u>

<u />

Mode is 2

<u>Range is the difference between the highest and the lowest number:  39 - 2</u>

37

Range is 37

7 0
4 years ago
Read 2 more answers
The rectangle shown has a perimeter of 98 cm and the given area. Its length is 7 more than 5 times its width. Write and solve a
Anettt [7]

Answer:

35 is its width and 63 is its length.

Step-by-step explanation:

7 x 5 = 35 and 98 - 35 equals 63 which is the length.

3 0
3 years ago
Two polls were conducted about the upcoming election for new governor. The first poll said that 45% of the people asked would vo
castortr0y [4]

Answer:

A. Yes, the two corresponding confidence intervals overlap.

Step-by-step explanation:

The correct option is - A. Yes, the two corresponding confidence intervals overlap.

Reason -

P(1) = 45% = 0.45

E(1) = 4.6% = 0.046

Confidence Interval = P(1) ± E(1)

                                 = 0.45 ± 0.046

So, the interval is -

0.45 + 0.046 ≤ P ≤ 0.45 - 0.046

⇒0.496 ≤ P ≤ 0.404                       .............(1)

Now,

P(2) = 42% = 0.42

E(2) = 3.6 % = 0.036

Confidence Interval = P(2) ± E(2)

                                 = 0.42 ± 0.036

So, the interval is -

0.42 + 0.036 ≤ P ≤ 0.42 - 0.036

⇒0.456 ≤ P ≤ 0.384                    ...............(2)

From equation (1) and (2), we get

The two corresponding confidence intervals overlap.

6 0
3 years ago
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