how do you solve 2x+4y=7 and -2x +3y=14

Answers

Answer 1

Answer:

y=3    x= -5/2

Step-by-step explanation:

simultaneous equations

2x + 4y = 7  ------ eq 1

-2x + 3y = 14 --------eq2

(different signs add)

(eq 2 + eq 1)

-2x +(-2x) = 0

4y+3y = 7y

7+14 = 21

7y= 21

(divide both sides by 7)

y= 21/7= 3

2x + 4(3) = 7

2x+ 12=7

2x = 7-12

2x = -5

x= -5/2


Related Questions

Find the measure of angel 3

Answers

Answer:

100

Step-by-step explanation:

Remark

If two opposite arcs are given by being opposite vertically opposite angles, then the value of both the vertically opposite angles are equal to

Vertically opposite angle = 1/2 (arc1 + arc2)

Givens

Arc1 = 60

Arc2 = 100

Solution

The red dot angle = 1/2 (60 + 100)

The red dot angle = 1/2(160)

The red dot angle = 80

Because the red dot angle and <3 are on the same line with the same common point, they are supplementary.

<3 and red dot = 180

<3 + 80 = 180                          Subtract 80 from both sides

<3 = 180 - 80

<3 = 100

Identify the percent of change as an increase or decrease. 10 feet to 8 feet point
Increase Decrease

Answers

Answer:

It decreases because it's going lower if it increases its going higher

Which number best represents a temperature drop of twelve degrees?
A. -1.2
B.
1.2
C. -12
D.
12

Answers

Answer:

c

Hope it helps :)

the answer is c i think

Please help! Factor out the GCF:

Answers

Answer:

35(2n + 1) A is correct

Multiply and you'll get

70n + 35

Step-by-step explanation:

35 is the greatest factor

70n / 35 = 2n

Answer:

35(2n + 1)

Step-by-step explanation:

convert 17584000cm3 to kl​

Answers

Answer:

17.58 KL

Step-by-step explanation:

.

Answer:

17.584 kl.

Step-by-step explanation:

1 kl = 1,000,000 cm^3.

So the answer is  17.584 kl.

A parabola is graphed such that the axis of symmetry is x = 3. One of the x-intercepts is (5, 0). What is the other x-intercept?

Answers

The axis of symmetry is the fold line that splits the parabola down the middle.

Now, since a parabola is symmetrical, every point, except the vertex, will have a mirror image of another point if we folded the parabola over the axis of symmetry.

So if we know the axis of symmetry is x = 3 and one of our points

has the coordinates (5, 0), the other point will have the coordinates (3, 0).

The axis of symmetry is always halfway between the x-intercepts.

Can someone pleas help ?

Answers

Answer:

y=12

Step-by-step explanation:

BA/BD=BE/BC

24/8=(24+y) / y

16y=192

y=12

en un aparcamiento hay 55 vehiculos entre coches y motos. Si el total de ruedas es de 170. ¿Cuantos coches y cuantas motos hay?​

Answers

Answer:

Spanish?

Step-by-step explanation:

I speak english

PLEASE HELP, I NEED THIS RIGHT NOW! ​

Answers

Answer:

A

Step-by-step explanation:

i dnt know how to explain tht but hi

Emi computes the mean and variance for the population data set 87, 46, 90, 78, and 89. She finds the mean is 78. Her steps for finding the variance are shown below.

sigma squared = StartFraction (87 minus 78) squared + (46 minus 78) squared + (90 minus 78) squared + (78 minus 78) squared + (89 minus 78) squared Over 5 EndFraction. = StartFraction 9 squared minus 32 squared + 12 squared + 0 squared + 11 squared Over 5 EndFraction. = StartFraction 81 minus 1,024 + 144 + 0 + 121 Over 5 EndFraction. = StartFraction negative 678 Over 5 EndFraction. = negative 135.6

What is the first error she made in computing the variance?
Emi failed to find the difference of 89 - 78 correctly.
Emi divided by N - 1 instead of N.
Emi evaluated (46 - 78)2 as -(32)2.
Emi forgot to take the square root of -135.6.

Answers

Answer:

135.6

i think

Step-by-step explanation:

Emi evaluated (46 - 78)² as -(32)². The variance of the given data is 274. Therefore, option C is the correct answer.

Given that, the population data set is 87, 46, 90, 78, and 89.

Here, mean = [tex]\bar x[/tex] =78 and n=5

We know that, mean [tex]\bar x=\frac{\sum x_i}{n}[/tex] and variance = [tex]\sigma^2=\frac{\sum (x_i-\bar x)^2}{n}[/tex].

Here, σ² = [(87-78)²+(46-78)²+(90-78)²+(78-78)²+(89-78)²]/5

= (9²+(-32)²+12²+0²+11²)/5

= (81+1024+144+121)/5

= 1370/5

= 274

So, the variance is 274.

Therefore, option C is the correct answer.

Learn more about the variance here:

https://brainly.com/question/29615374.

#SPJ7

how do I work it out ?

Answers

Answer:

x - y = 5

Explanation:

As you can see in the first problem the ration is x to y = 8 to 3. This means for every 8 x values, there are 3 y values. Therefore, x - y should be the same as 8 - 3, which is 5.

What are these answers please and thank youu??

Answers

Answer:

7

13

19

28

Step-by-step explanation:

y= 1 + 3x

the first one is 2. we replace x with 2. now we have 1+3*2. We would have to multiply 3 and 2 which is 6. Now we have 1+6. which equals 7. Next one is 4 times 3 equals 12. 12 + 1 =13. Next one 6 times 3 equals 18. 18 + 1 = 19. The same thing for the next one

Calculate the measures of central tendency 1,4,3,6,6
Mean
Mode
Median
Range

Answers

Answer:

Mean: 4

Mode: 4

Median: 6

Range: 5

Step-by-step explanation:

Mean: The mean is the average of the numbers. It is easy to calculate: add up all the numbers, then divide by how many numbers there are. In other words it is the sum divided by the count.

Mode: Arrange your numbers in numerical order.

Count how many numbers you have.

If you have an odd number, divide by 2 and round up to get the position of the median number.

If you have an even number, divide by 2. Go to the number in that position and average it with the number in the next higher position to get the median.

Median: The mode of a data set is the number that occurs most frequently in the set. To easily find the mode, put the numbers in order from least to greatest and count how many times each number occurs. The number that occurs the most is the mode!

Range: The range is the difference between the smallest and highest numbers in a list or set. To find the range, first put all the numbers in order. Then subtract (take away) the lowest number from the highest.

A washing machine uses 27 gallons of water to wash 3 loads of clothes. How many gallons of water would be used to wash 14 loads of clothes?

Answers

Answer:

126 Gallons

Step-by-step explanation:

Take 27/3 to find how many gallons it takes for 1 load which is 9

Then multiply 9 (the gallons it takes for one load) by 14 to get 126 :)

describe how 20,000 and 2,000 related

Answers

Answer:

They both have 3 zero's both have the number 2

They both are numbers

HELPP PLEASEEE!!!! i will give brainiest and 10+points, HELP HURRYY THANKSSSSSS

Answers

Answer:

Im sorry I honestly don't know

Step-by-step explanation:

But can you look at my question to see if you can help me? Please I understand if you can't. My regards

PLEASE HELP. I CAN'T FAIL THIS TEST. A local movie theatre is having trouble getting people to come to the movies and they are trying to figure out why. They decide to survey the next 100 movie goers to see how they feel about going to the movies. Is this a good way for them to the movie theatre to collect data?

A) No, they are surveying people that are attending the movies and they are trying to find why people don't go to the movies.

B) Yes, since these are people that frequent the movie theater they can find out what they are doing that people like.

C) Yes, it is an inexpensive way for the movie theatre to get the information that they need.
D) No, that is too many people to survey and it will take too long to tally the results.

Answers

Answer:

I would say the answer is A.

Step-by-step explanation:

I think this because well why survey people that are coming into the Theaters cause obviously it seems like the like going to the movies, but truly they are suppose to survey people who don't like going to the movies.

Answer:

A

Step-by-step explanation:

what is 3040-17+6987x987654

Reat me 1-10

Answers

Answer:

6900741521

u cool

i guess

imma guy so...imma say u look 6/10

Step-by-step explanation:

help me pls, question is on the picture

Answers

Answer:

I just learned this about a few weeks ago I hope this helps.

Step-by-step explanation:

Since it's cosine you're only looking at Adjacent and the hypotenuse which the adj is 20 and the hyp is 25 so since cosine is adj/hyp you do 20/25 then simplify it to 20/25 divide both by 5 so it's simplified to 4/5.

Then you do Cos-1(4/5)=36.869 which is rounded to the tenth 36.9 but rounded to the hundredth 36.87.

Hope this helps

Amy buys 23 envelopes for 16p each and pays with a £5 note. How much change does she get? Give your answer in pounds

Answers

Answer: £1.32

Step-by-step explanation:

Amy buys 23 envelopes and each of them cost 16p.

1p makes a pound so 16 pence is £0.16.

23 envelopes would cost:

= 0.16 * 23

= £3.68

Her change in Pounds would be:

= 5 - 3.68

= £1.32

BRAINLIEST!!! SEE BELOW!!
plzz help....

Answers

Answer:

D. Survey every 10th customer to enter the store

plz mark as brainliest

Answer:

D. Survey every 10th customer to enter the store

Step-by-step explanation:

have a good day!

Give each trig ratio as a fraction in simplest form.

Answers

Answer:

Step-by-step explanation:

Use SOH CAH TOA to recall how the trig functions fit on a triangle

SOH: Sin(Ф)= Opp / Hyp

CAH: Cos(Ф)= Adj / Hyp

TOA: Tan(Ф) = Opp / Adj

sin(D) = 20/29

D = arcsin(20/29)

D=43.60281897 °

cos( 43.60281897 °)= DF / 29

DF = 29*cos( 43.60281897 °)

DF = 21

sin(D) = 20/29

cos(D) = 21/29

tan(D) = 20 / 21

sin(E) = 21/29

cos(E) = 20/29

tan(E) = 21 / 20

At noon, the temperature was 0° Fahrenheit. The temperature changed by −1.2°F every hour for 8 hours. What was the temperature in degrees Fahrenheit at the end of the 8-hour period?

Enter your answer in the box.

Answers

-9.6 degrees Fahrenheit

Two frogs had a jumping contest. The heights they jumped are shown below.
Frog one jumped 70cm
Frog two jumped 850mm
What is the difference between the distances, in millimeters?

Answers

Answer: 150mm

Step-by-step explanation:

We should note that 10 millimeter = 1 centimeter. Therefore, 70cm to mm will be:

= 70 × 10 = 700mm

Frog one jumped 70cm = 700mm

Frog two jumped 850mm

The difference between the distance will be:.

= 850mm - 700mm

= 150mm

What is the value of x?

Enter your answer in the box.

Answers

Answer:

4

Step-by-step explanation:

This is a pair of special right triangles

in RST its 30-60-90 triangle

It's RT will be 4

then in triangle RQT it is 45-45-90 triangle

It's two sides are always equal so RQ = 4 as well

Can someone help me pretty please?

Answers

h = -3
k = -3
Axis of symmetry: x = -3
Vertex: (-3,-3)
Standard form: y = -x² - 6x - 12

what is 8x over 2y ?

Answers

Answer:

6 2/3.. i think

Step-by-step explanation:

hopefully u understand my messy handwriting

Find the area of the shaded region to the nearest tenth.

Answers

Answer:

(540-36π)km²

Step-by-step explanation:

First solve the area of the shaded triangle. 40 times 27 divided by 2 equals 540. Now subtract the area of the circle. The area of the circle is 36π because the radius is 6 and 6 squared times pi equals 36π. Finally subtract 36π from 540. The answer is (540-36π)².

4.
Kamisha has $114 In her bank account. She spends $81 on groceries, and she spends $44 at the
book store. Which number represents a debt greater than Kamisha's?
-$12
- $10
$10
$12

Answers

Answer:

-$12

Step-by-step explanation:

Add the spendings

$81+$44=$125

Subtract base number and solution

$114-$125=-$11

-$12 is a greater debt than -$11

Based on the diagram...what is the value of x??

Answers

Answer: 22.5

Explain:
First, I divided 15 by 4 since there are 4 bars
That got me 3.75
Then, I multiple 15 by 3.75
To get the answer 22.5
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