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aalyn [17]
3 years ago
11

What is the solution to the system of equations below? {2y=x+63x=y+7 (5, 4) (20, 13) (13, 20) (4, 5)

Mathematics
1 answer:
Tcecarenko [31]3 years ago
7 0

Answer:

(4,5)

Step-by-step explanation:

Let's solve your system by substitution.

2y=x+6;3x=y+7

Step: Solve2y=x+6for x:

2y=x+6

2y+−x=x+6+−x(Add -x to both sides)

−x+2y=6

−x+2y+−2y=6+−2y(Add -2y to both sides)

−x=−2y+6

−x

−1

=

−2y+6

−1

(Divide both sides by -1)

x=2y−6

Step: Substitute2y−6forxin3x=y+7:

3x=y+7

3(2y−6)=y+7

6y−18=y+7(Simplify both sides of the equation)

6y−18+−y=y+7+−y(Add -y to both sides)

5y−18=7

5y−18+18=7+18(Add 18 to both sides)

5y=25

5y

5

=

25

5

(Divide both sides by 5)

y=5

Step: Substitute 5 for y in x=2y−6:

x=2y−6

x=(2)(5)−6

x=4(Simplify both sides of the equation)

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WILL GIVE BRAINLIEST AND 100 POINTS
ICE Princess25 [194]

Answer:

a) The interval for those who want to go out earlier is between 43.008 and 46.592

b) The interval for those who want to go out later is between 47.9232 and 51.9168

Step-by-step explanation:

Given that:

Sample size (n) =128,

Margin of error (e) = ±4% =

a) The probability of those who wanted to get out earlier (p) = 35% = 0.35

The mean of the distribution (μ) = np = 128 * 0.35 = 44.8

The margin of error = ± 4% of 448 = 0.04 × 44.8 =  ± 1.792

The interval = μ ± e = 44.8 ± 1.792 = (43.008, 46.592)

b) The probability of those who wanted to start school get out later (p) = 39% = 0.39

The mean of the distribution (μ) = np = 128 * 0.39 = 49.92

The margin of error = ± 4% of 448 = 0.04 × 49.92 =  ± 1.9968

The interval = μ ± e = 44.8 ± 1.792 = (47.9232, 51.9168)

The way for those who want to go out earlier to win if the vote is counted is if those who do not have any opinion vote that they want to go earlier

4 0
3 years ago
which is the equation of a line that passes through the point (8, 2) and is perpendicular to the line y = -1/4x + 2? A y = -1/4x
Ymorist [56]

Answer: C

Step-by-step explanation:

If a line is perpen to another line, then the other line has the opposite reciprocal of the slope.

y=-(1/4)x+2

slope of the other equation is +4

oly answer with positive slope is C

4 0
3 years ago
Which combined inequality has the same solution set shown in the graph of x?
alexandr402 [8]

Step-by-step explanation:

an open (empty) point means the point itself is not included.

a closed (filled) point means the point itself is included.

the x values going from -3 (not included) to -1 (included) means

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so, the second answer is correct.

4 0
2 years ago
Which of the following represents x = y written in general form? 2 x - y = 0 1/2 x - y = 0 x - 1/2 y = 0
Marta_Voda [28]

Answer:

x - y = 0

Step-by-step explanation:

General form of equation of straight line is

ax + by = c

that is we have to keep terms containing x and y on LHS and term independent of x and y on RHS.

given

x = y

there, no term independent of x and y

now we have to bring y one RHS

for that we subtract y from LHS and RHS

x - y = y -y

=> x - y = 0

Thus, option x - y = 0 is the correct answer.

4 0
3 years ago
0 × 0 + 1- 0 ÷ 1 -0 ​
seraphim [82]

Answer:

1

Step-by-step explanation:

0×0=0

1-0=1

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0+1÷1

1÷1=1

so, 0+1=1

hopefully it works

4 0
3 years ago
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