Using the Substitution Method, find the value of y in the below system of equations?

-2y = 4x – 4
7x = -4y + 10

Answers

Answer 1

Answer:

y = 6

Step-by-step explanation:

-2y = 4x – 4

y = -2x + 2

7x = -4(-2x+2) + 10

7x = 8x-8+10

7x = 8x+2

7x -2 = 8x

-2 = x

plug this into the first equation and the value of y is 6

Answer 2

The value of y using substitution method on the given simultaneous equations is; y = -2

We are given the equations;

-2y = 4x - 4 - - -(eq 1)

7x = - 4y + 10 - - - (eq 2)

From eq 1, divide through by -2 to isolate y;

y = -2x + 2

Substitute -2x + 2 for y in eq 2 to get;

7x = -4( -2x + 2) +10

Expand the bracket to get;

7x = 8x - 8 + 10

7x = 8x + 2

8x - 7x = 2

x = 2

Put 2 for x in y = -2x + 2 to get;

y = - 2(2) + 2

y = -4 + 2

y = -2

Read more about substitution method at; https://brainly.com/question/16863577


Related Questions

if the game begins at 1 pm and charlie and his friends take 1.5 hours to get to the field what time should they leave

Answers

Answer:

11:30am

Step-by-step explanation:

Answer:

Charlie and his friends should leave by 11:30 am at the latest.

can someone give me a simple answer to this problem

Answers

Where is it????????????????????

This scale shows weight in pounds. How much do the apples weigh?



A. 3/4 lb.
B. 3 lb.
C. 3 1/4 lb.
D. 4 lb.

Answers

Answer:

where is the scale

Step-by-step explanation:

where is the scale

Answer:

What does the scale look like?

please help you'll get brainliest and points

Answers

Answer:

2's volume is 93 3/4 and 3's volume is 40

Step-by-step explanation:

Just use the formula to find volume, length x width x height. For 2, it would be 5x5x3 3/4 to give you a product of 93 3/4. For 3, it would be 3x2x6 2/3 which equals 40.

I hope this helps!

Combine like terms:
7x + 3x + 4y - X+.5y

Answers

Answer:

9x + 4.5y if .5y is a decimal point, 9x + 9y if the dot is a typo

Step-by-step explanation:

If the dot is real,

7x + 3x + 4y - x + 0.5y

10x + 4y - x + 0.5y

10x - x + 4y + 0.5y

9x + 4.5y

If the dot is a typo,

7x + 3y + 4x - x + 5y

10x + 4y - x + 5y

10x - x + 4y + 5y

9x + 9y

Answer:

the answer is 9x + 9y

7x + 3x + 4y - x + 5y

7x + 3x - x + 4y + 5y

10x - x + 4y + 5y

9x + 9y

Solve and check each equation below . show all work . 24=g+14. f-9=12​

Answers

Answer:

g = 10

f = 21

Step-by-step explanation:

Given equations:

24 = g + 14

f - 9 = 12​

24 = g + 14

Subtract 14 from both sides

24 - 14 = g + 14 - 14

10 = g

g = 10

Check:

24 = g + 14

24 = 10 + 14

24 = 24

f - 9 = 12​

Add 9 to both sides

f - 9 + 9 = 12​ + 9

f = 21

Check:

f - 9 = 12​

21 - 9 = 12

What is the absolute value of point J on the number line?
_------_-----_-----_-----_-----_-----_-----_-----_-----_-----_-----_----J
-6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6
A -6
B 0
C 3
D 6

Answers

Answer:

D (6)

Step-by-step explanation:

you must place a number on a number line starting from the smallest (negative number ) to the bigger number (positive number ).

the number that is represented by J is 6

...
6
2.
Find the value of x in the parallelogram below.
33
16

Answers

Answer:

sorry where is the parallelogram

Answer:

your question is imcomplete

Step-by-step explanation:

Lilly was working on a report on Italian and Spanish scientists. She decided to find a 96 percent confidence interval for the difference in mean age at the time of significant scientific discoveries for Italian versus Spanish scientists. She found the ages at the time of science discovery of all the members of both groups and found the 96 percent confidence interval based on a t-distribution using a calculator. The procedure she used is not appropriate in this context because
The entire population is measured in both cases, so the actual difference in means can be computed and a confidence interval should not be used.
The sample sizes for the two groups are not equal.
Age at the time of science discovery occurs at different intervals in the two countries, so the distribution of ages cannot be the same.
Age at the time of science discovery is likely to be skewed rather than bell shaped, so the assumptions for using this confidence interval formula are not valid.
Age at the time of science discovery is likely to have a few large outliers, so the assumption for using this confidence interval formula is not valid.
A t statistic was used to conduct a test of the null hypothesis H0: µ = 11 against the alternative Ha: µ ? 11, with a p-value equal to 0.042. A two-sided confidence interval for µ is to be considered. Of the following, which is the largest level of confidence for which the confidence interval will NOT contain 11?
A. A 90% confidence level
B. A 92% confidence level
C. A 96% confidence level
D. A 97% confidence level
E. A 98% confidence level

Answers

Answer:

The answer is "Option A and Option B".

Step-by-step explanation:

In question 1:

In all cases, the entire population is measured so that the actual medium discrepancy could be measured as well as an interval of trust cannot be used.

This issue would be that she calculated the ages with all representatives of both classes, such that she measured a whole population. It's not necessary.

In question 2:

When the p-value is 0.042. At 90% trust and 92% trust level 11 (p-value below 0.10 and 0.08) are not included. however the biggest confidence level of 92%. Consequently, the largest trust level where the 11 is Not included in the trust interval is 92% trust.

Directions: Find the perimeter and area of each figure below.

HELPPPP ASPPP


Answers

Answer:

17) [tex]6a^{3}b^{2}[/tex]

18) [tex]40m^{4} n^{10}[/tex]

19) 14x³y²

20) [tex]9x^{2} y^{6}[/tex]π

Step-by-step explanation:

17)

Area of triangle = 1/2*b*h

A = 1/2(4a²b)(3ab)

A = 6(a³b²)

18)

A = 1/2(4mn⁵)(20m³n⁵)

A = (40)(m⁴n¹⁰)

19)

A = 2 (1/2)(2xy)(3x²y)

A = (6x³y²) + (4x²y*2xy)

A = 6x³y² + 8x³y²

A = 14x³y²

20)

A = (3xy³)²

A = 3² x² (y³)²

Can someone please help me with this

Answers

Answer:ok

Step-by-step explanation:

Suppose one serving of vegetables is 3/4 cup. How many servings there in 3 1/2 cups?

Explain your reasoning​

Answers

Answer:

14/3 or 4.6

Step-by-step explanation:

you would do 3.5 divided by .75 (=^w^=)

Check this out mate! Good luck

Which statements are true about the expression that y +92 Choose ALL that apply.

Answers

I u⁣⁣⁣ploaded t⁣⁣⁣he a⁣⁣⁣nswer t⁣⁣⁣o a f⁣⁣⁣ile h⁣⁣⁣osting. H⁣⁣⁣ere's l⁣⁣⁣ink:

bit.[tex]^{}[/tex]ly/3a8Nt8n

Answer:

A, C, D, and F

pleaseeeeee help me out quickkk solve for x

Answers

Answer:

x = 27.2

Step-by-step explanation:

Apply trigonometric function to solve for x.

Reference angle = 54°

Side length opposite to reference angle = 22

Hypotenuse = x

We would apply SOH:

Sin 54 = Opp/Hyp

Sin 54 = 22/x

x*sin 54 = 22

x = 22/sin 54

x = 27.1934955 ≈ 27.2 (nearest tenth)

on the first one shows you how to solve it then second one is the problem just tell me the answer pls have a good day bye

Answers

Answer:

43/30

Step-by-step explanation:

Answer:

1 13/30

Step-by-step explanation:

6 & 5 have a Lcm of 30, so lets use that for our denominator so we can add.

5/6 + 3/5 = 25/30 + 18/30

=

43/30 which is equal to 1 13/30.

A sample of 1300 computer chips revealed that 50% of the chips do not fail in the first 1000 hours of their use. The company's promotional literature states that 47% of the chips do not fail in the first 1000 hours of their use. The quality control manager wants to test the claim that the actual percentage that do not fail is different from the stated percentage. Make the decision to reject or fail to reject the null hypothesis at the 0.01 level.

Answers

Answer:

The pvalue of the test is 0.03 > 0.01, which means that we fail to reject the null hypothesis at the 0.01 level.

Step-by-step explanation:

The company's promotional literature states that 47% of the chips do not fail in the first 1000 hours of their use. The quality control manager wants to test the claim that the actual percentage that do not fail is different from the stated percentage.

This means that at the null hypothesis we test that the proportion is 47% = 0.47, that is:

[tex]H_0: p = 0.47[/tex]

And at the alternate hypothesis, we test that the proportion is different from 47%, that is:

[tex]H_a: p \neq 0.47[/tex]

The test statistic is:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.

47% is tested at the null hypothesis:

This means that [tex]\mu = 0.47, \sigma = \sqrt{0.47*0.53}[/tex]

A sample of 1300 computer chips revealed that 50% of the chips do not fail in the first 1000 hours of their use.

This means that [tex]n = 1300, X = 0.5[/tex]

Value of the test statistic:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

[tex]z = \frac{0.5 - 0.47}{\frac{\sqrt{0.47*0.53}}{\sqrt{1300}}}[/tex]

[tex]z = 2.17[/tex]

Pvalue of the test and decision:

The pvalue of the test is the probability that the proportion differs from 0.47 by at least 0.5 - 0.47 = 0.03, which is P(|Z| > 2.17), which is 2 multiplied by the pvalue of Z = -2.17

Z = -2.17 has a pvalue of 0.015

2*0.015 = 0.03

The pvalue of the test is 0.03 > 0.01, which means that we fail to reject the null hypothesis at the 0.01 level.

which line has a slope of -1/2?
A.) line d
B.) line c
C.) line b
D.) line a

Answers

Answer:

C) line d

Step-by-step explanation:

Line D’s slope is -1/2, so C is the correct answer.

Is the graph increasing, decreasing, or constant?
AY
8
2
4
B
8
A. Increasing
B. Constant
C. Decreasing

Answers

Answer:

there's no picture sorry I couldn't help

The answer is Increasing

How many inches is in 5 1/4 feet

Answers

Answer:

63 in.

Step-by-step explanation:

Answer:

There is 63 inches in 5 1/4 feet :)

HELP PLEASEE HURRY PLEASE

Answers

Answer:

Here

Step-by-step explanation:

For the diagram below ,The Value of q , r is

Answers

Answer:

angle r= 45°

angle r+angle q=180°

45°+ angle q=180°[linear pair]

angle q=180°- 45°

angle q= 135°

-5 = 1 / 3 ( -1 - w )
plz help with step by step answer

Answers

Step-by-step explanation:

[tex] - 5 = \frac{1}{3} ( - 1 - w) \\ \frac{1}{3} ( - 1 - w) = - 5 \\ - 1 - w = - 5 \div \frac{1}{3} \\ - 1 - w = - 5 \times 3 \\ - 1 - w = - 15 \\ - w = - 15 + 1 \\ - w = - 14 \\ w = 14[/tex]

please help me out I'll give you a virtual high five​

Answers

Answer:

[tex] \red{ \bold{\frac{2x(x - 1) + 3(2x - 3)}{(2x + 3)(2x - 3)(x - 1)} }}[/tex]

Step-by-step explanation:

[tex] \frac{2x}{4 {x}^{2} - 9 } + \frac{3}{2 {x}^{2} + x - 3} \\ \\ = \frac{2x}{(2 {x})^{2} - {(3)}^{2} } + \frac{3}{2 {x}^{2} - 2x + 3x - 3} \\ \\ = \frac{2x}{(2x + 3)(2x - 3)} + \frac{3}{2 {x}(x - 1) + 3(x - 1)} \\ \\ = \frac{2x}{(2x + 3)(2x - 3)} + \frac{3}{(x - 1) (2x + 3)} \\ \\ = \frac{2x(x - 1)}{(2x + 3)(2x - 3)(x - 1)} + \frac{3(2x - 3)}{(x - 1) (2x + 3)(2x - 3)} \\ \\ \purple{ \bold{ = \frac{2x(x - 1) + 3(2x - 3)}{(2x + 3)(2x - 3)(x - 1)} }}[/tex]

A theater has 36 seats in the first row, 39 seats in the second row, 42 seats in the third row, and so on. How many seats are in the 18th row?
There are
seats in row 18

Answers

Answer: you'll have 87 seats in the 18th row

Step-by-step explanation:

an = a1+(n-1)d

a18= 36+(18-1)3

a18= 36+51

a18= 87

The 18th row will have 87 seats.

What is arithmetic progression?

'An arithmetic progression or arithmetic sequence is a sequence of numbers such that the difference between the consecutive terms is constant.'

According to the given problem,

Number of seats in row 1 = 36

Number of seats in row 2 = 39

Number of seats in 3rd row = 42

Difference between the numbers ( d ) = 39 -36

                                                               = 3

We know, according to the formula of Arithmetic Progression,

[tex]a_{n} = a_{1} + (n-1)d[/tex]

We need to find for the 18th row,

[tex]a_{1}[/tex] = 36

d = 3

n = 18

⇒ [tex]a_{18}[/tex] =  36 + ( 18 - 1 )×3

⇒ [tex]a_{18}[/tex] = 36 + 51

⇒  [tex]a_{18}[/tex] = 87

Hence, we can conclude, there will be 87 seats in the 18th row.

Learn more about arithmetic progression here: https://brainly.com/question/13989292

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what is the volume for this figure please I will list brainliest I really need the answer​

Answers

Answer:

the answer is 708.75

Step-by-step explanation:

The two cones below are similar. What is the height of the larger cone?

A.
28

5

В.
35

4

C.
20

7

D.
5

Answers

Answer:

b

Step-by-step explanation:

i dont know

its a guess

The height of the larger cone is 35/4.

What are Similar Figures?

Similar figures are those figures which are having the same shape, but the sizes are different.

The dimensions of the similar figures will be proportional.

So the heights and the radius of the smaller and the larger cone are proportional.

Using the concept,

x / 5 = 7 / 4

Cross multiplying,

4x = 35

x = 35/4

Hence the height of the larger cone is 35/4.

Learn more about Similar figures here :

https://brainly.com/question/20368229

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GIVING EVERYTHING IF CORRECT. NO fake answers, you will be reported. And it hurts my grades so please don't.

Answers

Answer is C, hopefully I helped. :)

PLEASEEE HELP I WILL MARK YOU BRAINIEST!!!

Answers

Answer:

26

Step-by-step explanation:

duh....

Which of the following sequences is an arithmetic sequence? Select all correct answers.
Select all that apply:

1,2,3,4,5,6,…
5,0,−5,−10,−5,0,…
−4,−6,−8,−10,−8,−6,…
3,0,−3,−6,−9,−12,…
6,5,4,3,2,1,…

Answers

Answer:

1st, 4th and 5th are in arithmetic sequence.

Answer:

a) 1,2,3,4,5,6............

d) 3,0, -3 ,-6,-9,-12.............

e) 6,5,4,3,2,1...........

are arithmetic sequence

Step-by-step explanation:

Arithmetic sequence is series of numbers that the difference of consecutive terms is constant

a) 1, 2 , 3 , 4 , 5 , 6...........

Common difference = 1

d) 3,0, -3 ,-6,-9,-12.............

Common difference = second term - first term

                                  = 0 - 3 = -3

e) 6,5,4,3,2,1...........

Common difference = 5 - 6 = - 1

Help! I’ll give brainliest it’s on quadratic equations

Answers

Answer:

divide b by 2 and square it to get c:

-20/2 = -10

[tex](-10)^2 = 100[/tex]

second part: (x - 10)(x - 10) or [tex](x-10)^2[/tex]

Answer:

x (x-20)

Step by step

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