Mathematics College

Solve the system using substitution.
X + 2y = -6
6x + 2y = 4
([?], [ ]

Solve The System Using Substitution.X + 2y = -66x + 2y = 4([?], [ ]

Answers

Answer 1

Answer:

Step-by-step explanation:

Rearrange x+2y=-6 to solve for x:

x = -2y-6

substitute -2y-6 for x into the second equation:

6x + 2y = 4

6(-2y-6) + 2y = 4

-12y-36 + 2y = 4

-10y  = 40

y  = -4

x = -2y-6 = 2

(x,y) = (2,-4)

Answer 2

The solution for the system of equations is (2,-4).

The given system of equations are x + 2y = -6-----(1) and 6x + 2y = 4-----(2).

How do solve systems of equations using the substitution method?

To solve a system of equations using substitution:

Step 1: Isolate one of the two variables in one of the equations.Step 2: Substitute the expression that is equal to the isolated variable from Step 1 into the other equation. This should result in a linear equation with only one variable.Step 3: Solve the linear equation for the remaining variable.Step 4: Use the solution of Step 3 to calculate the value of the other variable in the system by using one of the original equations.

Now, rearrange x+2y=-6 to solve for x:

So, x = -2y-6

Substitute -2y-6 for x into the second equation 6x + 2y = 4.

That is, 6(-2y-6) + 2y = 4

⇒-12y-36 + 2y = 4

⇒-10y = 40

⇒y = -4

By substituting y = -4 in x = -2y-6 we get x=2.

Therefore, the solution for the system of equations is (2,-4).

To learn more about the system of equations visit:

https://brainly.com/question/21620502.

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Related Questions

PLEASE HELP!!!!!! ILL GIVE BRAINLIEST *EXTRA 40 POINTS** !! DONT SKIP :((

Answers

Answer:

No

Step-by-step explanation:

(2, 6) is not a solution to the given system of linear equations.

y = 5x - 4 = 5*2 - 4 = 10 - 4 = 6

y = - 1/2x + 8 = - 1/2 * 2 + 8 = - 1 + 8 = 7

Since, point (2, 6) does not satisfy to equation 2.

Therefore, (2, 6) is not a solution to the given system of linear equations.

Answer:

no

Step-by-step explanation:

Find the area of this figure

Answers

52 is the answer to this question

What is the perimeter of the triangle?

Answers

Answer: 3y + 5 cm

Step-by-step explanation: The perimeter of a triangle

is just the distance around the outside of the figure.

So just add up all the sides.

So we have y + y + y + 5 and we get 3y + 5.

A meteorologist stated that 1 foot of snowfall would melt to make 2 inches of water. Based on this rule, how much water should result from 84 inches of snowfall ?

Answers

80 I guess is the answer

The original cost is $25. The item has a discount of 20% off. What is the discount amount?

Answers

Answer:20 dollars.

not sure

Step-by-step explanation:

simplify 5p - 3 p + p​

Answers

the answer is 3p

hope it helps!

Answer: 3p

Step-by-step explanation:

5 − 3 + =

3

(-1)15 =
................

Answers

The answer is -15 I’m pretty sure

Work out the size of angle x.

Answers

Answer:

First: 105

Second: 65

Third: 133

Fourth: 129

Fifth: 60

also (area O O O O O O​

Answers

Answer:

slide A= 6

slide B= 8

perimeter= 36

Area = 80

Step-by-step explanation:

Answer:

slide A= 6

slide B= 8

perimeter= 36

Area = 80

Step-by-step explanation:

Write the equation in standard form for the circle x^2 + y^2 + 16x + 28 = 0.

Answers

Answer:

( x + 8 ) ^2+ y^2= 36

Step-by-step explanation:

Helpppppp please i need help on this question

Answers

Step-by-step explanation:

K=12 if you want explanation i will

Explanation:
k + 6 = 18
k = 18 - 6
k = 12

PLEASEEEE HELP THIS IS DUE TODAY!!!

Answers

Answer: $200

Step-by-step explanation:

On the X axis, it shows the kilograms. Since the problem asks for how much money she makes for 60 kg, go to the point on the X axis that represents 60 kg and then go up to the corresponding y or dollar value, which is 200.

Please help I don't get this

Answers

Answer:

18n+9

Step-by-step explanation:

9(2n+1)

multiply the 9 with the numbers in the parenthesis

18n+9

A photographer has a print that is 3.5 inches wide and 2.5 inches tall. If the photographer enlarges the print so that it is 7 inches wide, how tall will it be?
5 inches
6 inches
8 inches
12 inches

Answers

b. if it is 7 inches wide it will be 6 inches tall

Answer:

5 inches

Step-by-step explanation:

Hope I helped

Please help me I’m desperateeee

Answers

Answer:

Step-by-step explanation:

First box: (0,1)

Second box: (0,-3)

Third box: (0,-4)

The overhead reach distances of adult females are normally distributed with a mean of 200 cm and a standard deviation of 8.3 cm. a. Find the probability that an individual distance is greater than 210.00 cm. b. Find the probability that the mean for 20 randomly selected distances is greater than 197.80 cm c. Why can the normal distribution be used in part​ (b), even though the sample size does not exceed​ 30?

Answers

Answer:

a) 0.1151 = 11.51% probability that an individual distance is greater than 210.00 cm.

b) 0.883 = 88.3% probability that the mean for 20 randomly selected distances is greater than 197.80 cm.

c) The distribution of the population is normal, which means that the sample size does not need to exceed 30.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

The overhead reach distances of adult females are normally distributed with a mean of 200 cm and a standard deviation of 8.3 cm.

This means that [tex]\mu = 200, \sigma = 8.3[/tex]

a. Find the probability that an individual distance is greater than 210.00 cm.

This is 1 subtracted by the pvalue of Z when X = 210. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{210 - 200}{8.3}[/tex]

[tex]Z = 1.2[/tex]

[tex]Z = 1.2[/tex] has a pvalue of 0.8849

1 - 0.8849 = 0.1151

0.1151 = 11.51% probability that an individual distance is greater than 210.00 cm.

b. Find the probability that the mean for 20 randomly selected distances is greater than 197.80 cm

Now [tex]n = 20, s = \frac{8.3}{\sqrt{20}} = 1.8559[/tex]

This probability is 1 subtracted by the pvalue of Z when X = 197.8. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{197.8 - 200}{1.8559}[/tex]

[tex]Z = -1.19[/tex]

[tex]Z = -1.19[/tex] has a pvalue of 0.117

1 - 0.117 = 0.883

0.883 = 88.3% probability that the mean for 20 randomly selected distances is greater than 197.80 cm.

c. Why can the normal distribution be used in part​ (b), even though the sample size does not exceed​ 30?

The distribution of the population is normal, which means that the sample size does not need to exceed 30.

Francine can ride 16 miles on her bicycle in 45 minutes. At this speed, how many minutes would it take Francine to ride 60 miles?

Answers

Answer:

2000 minutes on 16 miles

Answer:

168.75 minutes

Step-by-step explanation:

Francine's speed (the unit rate) is (16 miles) / (45 minutes), or 16/45 miles/min.

Recalling that distance = speed times time, we recognize that

time = distance / speed

which here is  

(60 miles) / (16/45) miles/min = 168.75 minutes, or 168 min 45 sec

Solve the system by substitution.
2x + 3y = 32
y = x + 9

Answers

Answer:

x=1 and y=10 (1,10)

Step-by-step explanation:

2+30=32

10=1+9

39 inches is the right answer just did the test on edge

Answers

Yup 39 is the correct answer good job :-)

Answer:

thanks have a nice day can you please mark me brainliest im trying to rank up and i  need 2 more brainlys

Step-by-step explanation:

please what is the answer? i need the steps too please help me

Answers

Do not write this one actually I have just give you one example

Algebra Unit 2Part 2 Test please show work

Answers

This it the test please do as fast as posible and show work. thank you and sorry

A survey found that 73% of people use streaming services, of those who stream, 28% report that they download
movies,
Find the probability that a randomly selected person uses streaming services and downloads movies,
0.20
0.28
0.38
2.61

Answers

Answer:

0.20

Step-by-step explanation:

Which equation shown below would have a solution set to the system shown below?
x+ 2y = 4
3x - y = -1
1. 6x-2y = -1
2. 3x - y = 4
3. -2x + 3y = 5
4. 4x + y = -4​

Answers

2 it is sorry if this is wrong

find the product 6 * 1/3​

Answers

Answer:

2

Step-by-step explanation:

Reduce the numbers with the greatest common factor which is 3

So.. 2

If 42,800 dollars is invested at an interest rate of 5 percent per year, find the value of the investment at the
end of 5 years for the following compounding methods.

What is the
Annual $
Semiannual $
Monthly $
Daily $
Continuously $

Answers

Answer:

Annual $54,624.85

Semiannual $54,787.62

Monthly $54,927.75

Daily $54,955.35

Continuously $54,955.35

Step-by-step explanation:

If 42,800 dollars are invested at an interest rate of 5 percent per year, to find the value of the investment at the end of 5 years for the following compounding methods, the following calculations must be performed:

Annual $54,624.85

42,800 (1 + 0.05 / 1)^5x1 = X = 54,624.85

Semiannual $54,787.62

42,800 (1 + 0.05 / 2)^5x2 = X = 54,787.62

Monthly $54,927.75

42,800 (1 + 0.05 / 12)^5x12 = X = 54,927.75

Daily $54,955.35

42,800 (1 + 0.05 / 365)^5x365 = X = 54,955.35

Continuously $54,955.35

42,800 (1 + 0.05 / 365)^5x365 = X = 54,955.35

What is 4^2 - (3.1 + 6.4) + 4.5 pls show ur work

Answers

4^ 2-(3.1+6.4)+4.5

16 − ( 3.1 + 6.4 ) + 4.5

16 − 9.5 + 4.5

6.5 + 4.5

= 11
Answer: 11
How:
4^2 - (3.1 + 6.4) + 4.5
16 - 9.5 + 4.5
6.5 + 4.5
= 11

5th grade math/// In the first week of a food drive, the 5th grade collected 2 3/4 bags of canned goods. The goal is to collect 2 1/2 times as many bags in the second week. How many bags is the 5th grade hoping to collect in the second week?

Answers

The number of bags that would be collected in the second week is 6 7/8 bags.

How many bags would be collected in the second week?

A mixed number is a number that is made up of an integer and a proper fraction. A proper fraction is a fraction that has a numerator that is less than the denominator. An example of a mixed number is 2 3/4.

In order to determine the number of bags that would be collected in the second week, multiply 2 3/4 by 2 1/2. Multiplication is the mathematical operation that is used to determine the product of two or more numbers.

Number of bags collected in the second week = 2 3/4 x 2 1/2

11/4 x 5/2 = 55/8 = 6 7/8 bags

To learn more about multiplication of fractions, please check: https://brainly.com/question/1114498

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Mr.moss has 4 gallons of paint. He painted 8 doors. How many benches can he paint with the paint that is left

Answers

Answer:

2

Step-by-step explanation:

I did 8 divided by 4 which is 2.

I hope this helps.

Kenneth runs 12 laps around a track in 15 min. How many minutes per a lap is that?



**choose your answer from the choices on Slide 2, but you must show how you got your answer on the chart, blank drawing space below, or explain in words**

Answers

Answer: 1.25 minutes per lap

Step-by-step explanation:

Her total time divided by total laps is 15 divided by 12, which is 1.25

Answer:

Kenith runs 0.8 laps a minute

Step-by-step explanation:

C/2 - 3 + 6/d when c=14 d=3

Answers

Answer:

6

Step-by-step explanation:

14/2 - 3 + 6/3

Divide 14 by 2 to get 7.

7−3+6/3

Subtract 3 from 7 to get 4.

4+6/3

Divide 6 by 3 to get 2.

4+2

Add 4 and 2 to get 6.

6

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