solve the system of equations -8x+7y=6 and 3x-2y=4 by combining the equations

Answers

Answer 1

Answer:

x=8, y=10. (8, 10).

Step-by-step explanation:

-8x+7y=6

3x-2y=4

--------------

2(-8x+7y)=2(6)

7(3x-2y)=7(4)

-----------------------

-16x+14y=12

21x-14y=28

-------------------

5x=40

x=40/5

x=8

3(8)-2y=4

24-2y=4

2y=24-4

2y=20

y=20/2

y=10


Related Questions

Function 1 is defined by y =-7/3x-1

Answers

Answer:

Y-Intercept

Step-by-step explanation:

Your question is not that clear to answer. If you are asking what number -1 called its y-intercept

Y intercept
Yeah yeah yeah yeah

Simplify 6(4x - 3) show work plz

Answers

Answer:

24x-18

Step-by-step explanation:

To simplify this we will need to use the distributive property

we can start with

6*4x=24x

then we can do

6*3=18

and since their is a negative sign in the middle that is what we do, so it will be

24x-18

Can I please have brainliest :)

[tex]\huge\text{Hey there!}[/tex]

[tex]\large\text{Simplify 6(4x - 3)}[/tex]

[tex]\large\text{DISTRIBUTE}\downarrow[/tex]

[tex]\large\text{6(4x - 3)}[/tex]

[tex]\large\text{6(4x) + 6(-3)}[/tex]

[tex]\large\text{6(4x) = 24x}[/tex]

[tex]\large\text{6(-3) = -18}[/tex]

[tex]\large\text{\bf = 24x - 18}[/tex]

[tex]\boxed{\boxed{\large\text{Answer: \bf \huge 24x - 18 }}}\huge\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Zoom in for a better look BUT HELP PLS ITS MY FINALS! I RLLY NEED HELP

Answers

Answer:

C.

Step-by-step explanation:

The word biodiversity means the variety of life and in this case, bats

Ecosystem 1 has the most variety bc it has the most number of different varieties of bats observed

hope this helps <3

Suppose that 20% of the residents in a certain state support an increase in the property tax. An opinion poll will randomly sample 400 state residents and will then compute the proportion in the sample that support a property tax increase. How likely is the resulting sample proportion to be within .04 of the true proportion (i.e., between .16 and .24)

Answers

Answer:

0.9544 = 95.44% probability of the resulting sample proportion being within .04 of the true proportion

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 z-score 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 p-value, 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.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]

20% of the residents in a certain state support an increase in the property tax. Sample of 400.

This means that [tex]p = 0.2, n = 400[/tex]

Mean and standard deviation:

Mean [tex]\mu = p = 0.2[/tex]

Standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}} = \sqrt{\frac{0.2*0.8}{400}} = 0.02[/tex]

How likely is the resulting sample proportion to be within .04 of the true proportion (i.e., between .16 and .24)?

This is the pvalue of Z when X = 0.24 subtracted by the pvalue of Z when X = 0.16. So

X = 0.24

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

By the Central Limit Theorem

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

[tex]Z = \frac{0.24 - 0.2}{0.02}[/tex]

[tex]Z = 2[/tex]

[tex]Z = 2[/tex] has a pvalue of 0.9772

X = 0.16

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

[tex]Z = \frac{0.16 - 0.2}{0.02}[/tex]

[tex]Z = -2[/tex]

[tex]Z = -2[/tex] has a pvalue of 0.0228

0.9772 - 0.0228 = 0.9544

0.9544 = 95.44% probability of the resulting sample proportion being within .04 of the true proportion

At the book sale, all books cost less than $5.

Answers

Is This A Good Or Bad Thing?

Answer:

then the books will cost 5.30

Step-by-step explanation:

don't forget to add 6 cents per dollar

2:14 = 1:
What is the equivalent ratio?

Answers

The answer would be 1:7
1:7 is the answer

Hope it helped:)

find the slope


!!HELP QUICKLY PLEASE!!

Answers

(2,1) move on the x graph 2 spots then up or down one depending on which direction you are going. So the answer is (2,1)


A builder buys 28.5 acres of land to develop a new community of homes and parks.
Part 1 :
The builder plans to use 0.75 of the land for a park. How many acres will he use for the park?

Part 2 out of 2
He buys a second property that has 0.74 times as many acres as the first property. How many acres of land
are in the second property? no links please.

Answers

Answer:

Part 1: 21.375 Acres

Part 2: 15.8175 Acres

21 ≤ 2x + 3 =
How do you work this out? And what is the answer? :)

Answers

Just use app called Socratic will help out

Answer:

9

Step-by-step explanation:

21≤2x+321-3≤2x18≤2xdivide both side by 2therefore the answerx≥9

Phil has completed 1/4 of his shift; Darren has completed 3/7 of his shift; Alice has finished 1/8 of her shift; Lisa has 1/5 of her shift remaining. Out of the four employees, who has completed the least work time?

Answers

Answer:

Out of the four employees, Alice is the one who has completed the least work time, since she only completed 12.5% of it.

Step-by-step explanation:

Since Phil has completed 1/4 of his shift; Darren has completed 3/7 of his shift; Alice has finished 1/8 of her shift of her; and Lisa has 1/5 of her shift remaining, to determine, out of the four employees, who has completed the least work time, the following calculation must be performed:

Phil: 4 - 1/4 = 3/4 = 0.75

Darren: 7 - 3/7 = 4/7 = 0.57

Alice: 8 - 1/8 = 7/8 = 0.875

Smooth: 5 - 1/5 = 4/5 = 0.8

Thus, of the four employees, Alice is the one who has completed the least work time, since she only completed 12.5% of it.

Find the simplified form of the expression. Give your answer in scientific notation.
(8 x 107) (7 x 104)

Answers

(8 x 110 )(7 x 100)
880 x 700
= 616000
=6.16 x 10^5

Someone help me right now

Answers

Answer:

33cm

Step-by-step explanation:

You need to add up all the sides

What is the value of the y-intercept of the graph of f(x) = 29(5.2)* ?

Answers

Answer:

(0,29)

Step-by-step explanation:

To find the y-intercept, substitute in

0 for x and solve for y OR use a graphing calculator.

PLEASE PLEASE HELP I WILL MARK THE BRAINLIEST!!!!!

Answers

Answer:

The average cost of a cat's annual visit is about $23.71 less at A New Leash on Life Animal Clinic than the average cost for a cat's annual visit at No Ruff Stuff Animal Hospital.

Explanation:

As you can see from the data and graph given, the Mean is essentially the average cost and $101.13 (New Leash on Life) is $23.71 less than $121.84 (No Ruff Stuff Animal Hospital).

addie spent 4.32 on 6 cherry-flavored popsicles. find the unit rate

Answers

Answer:

$0.72

Step-by-step explanation:

4.32 dollars per 6 popsicles.

4.32 / 6 = 0.72 per popsicle.

What is the y value in solution the following system?
4x+3y=7
X+2y=-2
(Worth 10 points)

Answers

4x+3y=7......……(i)
X+2y=-2………....(ii)
Multiplying eqn (ii) by 4
4x+8y=-8…………(iii)
Solving eqn ( i) and (iii)

The total surface area is _ square centimeters

Answers

Answer:

180 square inches

Step-by-step explanation:

First off since the square will be easiest to do

a=a^2

a=6^2

a=36

now for the triangles

a= height of triangle * base/ 2

a= 12*6/2

a= 36

and since there is 4 of the triangles we multiply 36 by 4

=144

now we add 144 to 36 and we have the total


Sonya paid $4.39 for a hero. She paid $0.95 for an orange and $1.67 for a drink. What is the total amount Sonya paid for all three items?

Answers

The total amount for all three items would be $7.01

someone help me!! i’ll mark brain list!!

Answers

hello this is super easy i can help you

Arithmetic mean of marks (out of 25) scored by 10 students was 15. One of the student, named Karishma enquired the other 9 students and find the deviations from her marks are noted as −8,−6,−3,−1,0,2,3,4,6. Find Karishma's marks?​

Answers

Answer:

Krishna's marks x marks

so...

xˉ=15

xˉ=15n=10

xˉ=15n=10∑x=x+x−8+x−6+x−3+x−1+x+x+2+x+3+x+4+x+6=10x−3

15=10x-3/10

150+3=10x

x=150/10=15.3 marks

Krishna scored 15.3 marks.

hope it helps you sis...

find-5/6÷(-1/2) write the answer in the lowest terms.​

Answers

Answer:

[tex]\dfrac{-5}{3}[/tex]

Step-by-step explanation:

We need to solve the given expression in the lowest form i.e.

[tex]\dfrac{5}{6}\div (-\dfrac{1}{2})[/tex]

We know that,

[tex]\dfrac{a}{b}\div \dfrac{c}{d}=\dfrac{a}{b}\times \dfrac{d}{c}[/tex]

So,

[tex]\dfrac{5}{6}\div (-\dfrac{1}{2})=\dfrac{5}{6}\times (-2)\\\\=\dfrac{-5}{3}[/tex]

So, the lowest form is equal to [tex]\dfrac{-5}{3}[/tex].

Find the value of x to the nearest tenth! HELP ME!!!!!!!!!!!!! (PICTURE IS BELOW)

Answers

Answer:

11.4

Step-by-step explanation:

By Pythagoras Theorem:

[tex]x^{2} = {7}^{2} + ( {4}^{2} + {8^{2}}) \\ \\ x^{2} = 49+(16 + 64)\\ \\ x^{2} = 49+80\\ \\ x^{2} = 129 \\ \\ x = \sqrt{129} \\ \\ x = 11.3578167 \\ \\ x = 11.4[/tex]

What the person said 11.4

What type of dilation occurs with a scale factor of 1/4?

Answers

Answer:

Congruent

Step-by-step explanation:

can you help thanks ​

Answers

Answer:

1/48 or .2083

Step-by-step explanation:

dividing by 6 is the same as multiplying by 1/6, so if you multiply 1/8*1/6 you get 1/48

Answer: Reduce the expression, if possible, by cancelling the common factors.

Exact Form:

1/48

Decimal Form:

0.02083

In this fraction, which number is the denominator? 1/15


A.
1

B.
15

Answers

Answer: B. 15

Step-by-step explanation: The number on the bottom of the fraction is always the denominator, therefore 15 is the denominator in the fraction.

please help me please

Answers

Answer: 7 texts 1 dollar, 5 texts 35 dollars

Step-by-step explanation:

if you have 49 is divisible by 7, and when you divide 49 by 7 you get 7. so 1 dollar you get 7 dollars. how do you get from 1 to five multiply 5, now multiply 7 by five to see how many texts you get for 5 dollars. im really not good at explaining i hope you get it though!!

The admission fee at a local zoo is $1.50 for children and $4.00 for adults. On a certain day, 1,900 people enter the zoo and $5,600.00 is collected.

Answers

What are we trying to find? I might be more help if I know what we’re trying to find!

PLEASE PLEASE HELP!! A ferris wheel with a radius of 38 feet rotates at a rate of 8 revolutions per minute. The height above the ground of the carriage labeled C below is a function of time, t, in minutes

Answers

Is this the whole question

Mr.Bhal has a circular wading pool with a radius of 3.5 feet. He bought a larger pool witha diameter of 21 feet. The measurements of each pool are shown below. How many times the circumference of the old pool is the circumference of the new pool?

Answers

Answer: i think c

Step-by-step explanation:

What is 0.69 expressed as a fraction in simplest form

Answers

Answer:

the answer is 69/100

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