Solve the system of linear equations by multiplying.
{−2x + 2y =4
{−4x + 8y =24

Answers

Answer 1

Answer:

The solution set is (2,4).

Step-by-step explanation:

Given that:

−2x + 2y =4         Eqn 1

−4x + 8y =24      Eqn 2

Multiplying Eqn 1 by -2

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

4x-4y= -8     Eqn 3

Adding Eqn 2 and 3

(-4x+8y)+(4x-4y)=24-8

-4x+8y+4x-4y=16

4y=16

Dividing both sides by 4

[tex]\frac{4y}{4}=\frac{16}{4}\\y=4[/tex]

Putting y=4 in Eqn 1

-2x+2(4)=4

-2x+8=4

-2x=4-8

-2x=-4

Dividing both sides by -2

[tex]\frac{-2x}{-2}=\frac{-4}{-2}\\x=2[/tex]

Hence,

The solution set is (2,4).


Related Questions

April took out a $600 loan from the bank. At the end of 5 years, she pays back the principal, plus $60 simple interest.
What was the annual interest rate?

Answers

I think it would be 60 if not 120

Answer:

2%

Step-by-step explanation:

WILL GIVE BRAINLIEST

Answers

Answer:

the answer is A

Step-by-step explanation:

PLS HELP I BEG YOU ASAP! PLS Answer this! I only have 5 minutes PLS I BEG U!!!! I also the the price of each notebook hint:find the value of X

Answers

Answer: 2x+4=10

Step-by-step explanation:

because each notebook would cost $3 so 2 x 3 = 6 +4=10

Answer:

first

2x + 4 = 10

2x+4=10

2x+4=10

Solve

1

Subtract

4

4

4

from both sides of the equation

2

+

4

=

1

0

2x+4=10

2x+4=10

2

+

4

4

=

1

0

4

2x+4{\color{#c92786}{-4}}=10{\color{#c92786}{-4}}

2x+4−4=10−4

2

Simplify

Subtract the numbers

Subtract the numbers

2

=

6

2x=6

2x=6

3

Divide both sides of the equation by the same term

2

=

6

2x=6

2x=6

2

2

=

6

2

\frac{2x}{{\color{#c92786}{2}}}=\frac{6}{{\color{#c92786}{2}}}

22x​=26​

4

Simplify

Cancel terms that are in both the numerator and denominator

Divide the numbers

=

3

x=3

x=3

Solution

=

3

Second one

6 = 10

2

Simplify

Cancel terms that are in both the numerator and denominator

Divide the numbers

=

5

3

x=\frac{5}{3}

x=35​

Solution = 5/3

i hope these help to figure out the third sorry its all messed up it wouldnt let me do another way

Megan cut a string into 4 equal pieces. Each piece is 4 fifths of a foot long. How many feet long was the string before Megan cut it? Enter your answer as a mixed number in the solution box. The string was feet long before Megan cut it.

Answers

Answer:

[tex]Total = 3\frac{1}{5}ft[/tex]

Step-by-step explanation:

Given

[tex]Pieces = 4[/tex]

[tex]Size = \frac{4}{5}ft[/tex]

Required

Determine the total size of the string

To do this, we multiply the number of pieces by the length of each piece.

[tex]Total = Pieces * Size[/tex]

[tex]Total = 4 * \frac{4}{5}ft[/tex]

[tex]Total = \frac{4 * 4}{5}ft[/tex]

[tex]Total = \frac{16}{5}ft[/tex]

Convert to mixed number

[tex]Total = 3\frac{1}{5}ft[/tex]

7. Which criteria for triangle congruence allows
you to immediately conclude that the triangles
are congruent with any extra steps?
a.
b.
SAS
AAS
HL
none
C.

Answers

Answer:

Option (B)

Step-by-step explanation:

From the figure attached,

Given:

AB ≅ CD

To prove :

ΔABC ≅ ΔCDA

              Statements                       Reasons

1). AB ≅ CD                             1). Given

2). AC ≅ AC                           2). Given

3). ΔABC ≅ΔCDA                  3). HL property of congruence

Therefore, Option (B) is the correct option.

Answer:

the answer is aas

Step-by-step explanation:

im sure u aint go read dis but the explanation is that the congruency of aas also know as angle-angle-side shows and appears many times due to the fact that if u were to split the two triangles apart there would be to angles and one side on each triangle

Small 20 caps $180.00
Medium 32 caps $270.00
Large 50 caps $360.00
The chart shows the price of baseball caps for different pack sizes. Coach Lewis will buy the medium size pack of caps. About how much will each cap cost? Write an equation to model the problem.

Answers

Each cap would be about $8.44. Equation to model this problem is 270/x=y or c for caps

3 A trainer for a soccer team keeps track of the amount of water players consume during practice. The trainer observes that the average amount of water consumed by the team is a linear function of the temperature. The graph and equation for this function are shown. Choose True or False for each statement. True у 7.8 a. For every degree increase in temperature, the average amount of water consumed increases by 0.0875 gallons. False 7.2 b. When the temperature is below 74 degrees, the team consumes no water. Water (gal) True 6.6 64 False 6.0 0 X True 0 74 76 78 80 82 84 86 88 90 92 94 C. When the temperature is 86 degrees, the team consumes somewhere between 7 gal and 7.2 gal of water. Temperature (°F) False w = 0.0875t – 0.45, where w represents the average amount of water consumed, and t represents the temperature on that day. True d. The amount of water consumed by the team decreases by 0.45 gallons for every degree the temperature falls, False S​

Answers

Answer:

Step-by-step explanation:

true false true false

PLEASE HELP ASAP!
A cheese wheel has a circumference of 18π in and an area of 81π in2. A sector of the wheel with an arc length of 3π in is removed. What is the area of this sector?
a) 6π in2
b) 486 in2
c) 13.5π in2
d) π6 in2

Answers

Answer:

13.5π in2

Step-by-step explanation:

just took the quick check

What two things do you NEED to write an equation in point-slope form?

Answers

Answer:

a letter or a word of any kind

Answer: In order to use the slope-intercept form, one needs a slope and the y-intercept. If you don't have or can't find these two pieces of information, you can't use the slope-intercept form

Step-by-step explanation:

4. (03.02) Factor completely x2 - 9x + 20. (1 point)​

Answers

Answer:

(x-4)(x-5)

Step-by-step explanation:

x² - 9x + 20

x²-4x-5x+20

x(x-4)-5(x-4)

(x-4)(x-5)

Answer:

Hope it can help you and please mark me as a brainlist..

Hey! I was wondering if you could give me some help with math?​

Answers

Sure what is it that u need help with
What grade? I can help with lots but there are some i haven’t mastered.

There are 13 guests at Morgan's party. If each guest will be served exactly \tfrac{4}{5} 5 4 ​ pint of ice cream, how many pints of ice cream will she need? Express your answer in simplest form.

Answers

Multiply number pf people by amount they are having:

13 people x 4/5 pint = (13 x 4)/5 = 52/5 = 10 2/5 pints.

They need 10 2/5 pints total. ( Simplest form)

Since you can't buy a fraction of a pint, they would actually need to buy 11 pints

if a scarf is 25 percent off and normally cost 20 dollars how much will it cost after 6.5 percent sales tax is paid?​

Answers

Answer:

$15.98

Step-by-step explanation:

25% off means it is 75% of its normal cost

0.75 x 20 = 15

The scarf is $15 after 25% discount. Then we calculate its final cost after tax:

6.5% = 0.065

1.065 x 15 = 15.975 which rounds to $15.98

Answer: 15.98

Step-by-step explanation: 25% off 20 is 15. 6.5% times 15 is .98 so the answer is 15.98

HELP ME WITH THIS QUESTION PLZZZZZZZZZZZ, ALSO PLEASE SHOW UR WORK I NEED HELP I DON'T UNDERSTAND THISSSSSS

Answers

Answer: Jon has the best rate

Step-by-step explanation:

1 3 movie tickets cost $36. At this rate, what is the cost per ticket?

Answers

Answer:

$12 per ticket

Step-by-step explanation:

if 13 movie tickets cost $36 the cost per ticket is how much will a tiket cost

36/13= $12

The answer is $12 per ticket

find the images of the following under thr reflection aboit x_axies a(2,_3)


Answers

Answer:

that not a full question I cant answer that.

In a survey of 10 musicians, 2 were found to be left-handed. Is it practical to construct the

90% confidence interval for the population proportion, p?

Answers

Answer:

-0.0081<p<0.4081

Step-by-step explanation:

Using the formula for calculating the confidence interval expressed as;

CI = p±z√p(1-p)/n

p is the proportion = x/n

n is the sample size

x is the amount that are left-handed

p = 2/10

p = 0.2

z is the z score at 90% CI = 1.645

Substitute the values into the formula;

CI = 0.2±1.645√0.2(1-0.2)/10

CI = 0.2±1.645√0.2(0.8)/10

CI = 0.2±1.645√0.16/10

CI = 0.2±1.645√0.016

CI = 0.2±(1.645*0.1264)

CI = 0.2±0.2081

CI = (0.2-0.2081, 0.2+0.2081)

CI = (-0.0081, 0.4081)

hence the 90% confidence interval for the population proportion, p is expressed as -0.0081<p<0.4081

what is 3 divided by 1/6?

Answers

Answer:

18

Step-by-step explanation:

Answer:

The correct answer is 18

Step-by-step explanation:

HAVE A GOOD DAY!

which one doesn’t belong?

Answers

come to your house to pick it lowest to go with D

Answer:

All of them have different answers so gonna say D because its only one number  

Step-by-step explanation:

Hope this helps

sorry If its wrong

Which expression is NOT equivalent to 6 × 14?

Answers

Answer:

D

Step-by-step explanation:

10(40)= 400

6(400)= 2,400

6(14)= 84

Therefore they are not equal.

Jermiah finished 3/4 of his timed math quiz. Of those he attempted he correctly answered 5/9 of the problems. What fractional part of the quiz did he get correct?

Answers

Answer:

5/12

Step-by-step explanation:

Jermiah finished 3/4 of his timed math quiz. Of those he attempted he correctly answered 5/9 of the problems. What fractional part of the quiz did he get correct?

The above question is solved below.

The Fractional part of the quiz he got correctly is

5/9 of 3/4 of his timed maths test

= 5/9 × 3/4

= 5/12

He got 5/12 of his quiz correctly.

Movie posters sell for $2.89 each, with a 25% discount if 15 or more posters are purchased. Sales tax is 6%. If Lois buys 20 posters, about how much would the posters cost?

Answers

Answer:

The posters cost $52.07.

Step-by-step explanation:

First, you have to calculate the cost of the 20 posters by multiplying the price per poster for the quantity:

$2.89*20=$57.8

Then, you have to calculate the 15% discount by multiplying the cost for 15% and subtracting that amount from the cost:

$57.8*15%=$8.67

$57.8-$8.67=$49.13

Finally, you have to calculate the 6% of $49.13 and add the result to that amount:

$49.13*6%=$2.94

$49.13+$2.94=$52.07

According to this, the answer is that the posters cost $52.07.

-41 + 22 negative or positive

Answers

Answer:

-19

Step-by-step explanation:

Which scatterplot BEST suggests a linear relationship between X and Y? URGENT!!!!!!!!!!!!!!! HELP PLEASE AND FAST!!!!!!

Answers

The scatterplot that best represent a linear relationship between the variables, X and Y, is: graph C.

What is a Linear Relationship?

On a scatterplot, the trendline that shows a linear relationship between two variables will have a straight line pattern that either slopes up or down.

The scatter plot in graph C shows a trendline that slopes along a straight line. Therefore, the answer is C.

Learn more about linear relationship on:

https://brainly.com/question/7040405

#SPJ2

Here are recipes for two mixtures of salt and water that taste different. a) If you used 10 cups of water, which mixture would use more salt? How much more? Explain or show your reasoning. b) Which mixture tastes saltier? Explain how you know.

Answers

Answer:

DrPepper is a carbonated soft drink. It was created in the 1880s by pharmacist Charles Alderton in Waco, Texas, and first served around 1885. Dr Pepper was first nationally marketed in the United States in 1904 and is now also sold in Europe, Asia, North and South America, and Australia, as well as New Zealand and South Africa as an imported good. Variants include Diet Dr Pepper and, beginning in the 2000s, a line of additional flavors.

Step-by-step explanation:

Answer:

All sound really freaking salty. And rule out the 3rd option cause that uses more water to salt than any. The saltiest would be Choice a, because, the other options have more water to salt than choice a.  

Step-by-step explanation

My grammarly says this writing sucks.....hope it doesnt for you. Best i can explain

CAN SOMEONE THAT IS VERY GOOD IN MATH HELP ME

Answers

Answer:

2. 2/1 is the ratio of seltzer to juice.  It means that there is twice as much seltzer as there is juice.

3. (2,4) represents the amount of seltzer and juice.  At this point there are 4 cups of seltzer, and two cups of juice.

4. (1,2) can be used to find the constant of proportionality and slope.

5. y=2x

6. y=2*15

y=30

Step-by-step explanation:

If you need explanations for any of these let me know, and I'll add them.

Does the blue on the graph represent a function ?

Answers

Answer:

Nope

Step-by-step explanation:

It doesnt. Functions look like that

yep because it doesn’t repeat x values


explanation:

He national debt of a country is ​$298,800,000​,000,000 and the population is 53,980​,000. What is the debt per​ person? Write the answer without exponents.

Answers

Answer:

5535383.47 units

Step-by-step explanation:

Given that,

The national dept of a country = 298,800,000​,000,000

Population of the country = 53,980​,000

We need to find the debt per person. It can be calculated by dividing national dept of a country to its total population. Let it is d.

[tex]d=\dfrac{298800000000000}{53980000}\\\\=5535383.47\ \text{units}[/tex]

Hence, the debt per person is 5535383.47 units.

Imelda jogs 2 3/4 miles each weekday, Monday through Friday. On Saturday, she logs 2.5 times the daily weekday distance. On Sunday she jogs 3/4 of the daily weekday distance.
How many miles does Imelda jog on all 7 days combined?

Answers

Answer: 22.6875 miles

Step-by-step explanation:

Monday = 2 3/4 miles = 2.75 miles

Tuesday = 2.75 miles

Wednesday = 2.75 miles

Thursday = 2.75 miles

Friday = 2.75 miles

Saturday = 2.5 × 2.75 = 6.875 miles

Sunday = 0.75 × 2.75 = 2.0625 miles

Total = 2.75 miles + 2.75 miles + 2.75 miles + 2.75 miles + 2.75 miles + 6.875 miles + 2.0625 miles

Total = 22.6875 miles

Write the equation of the line that passes through the points (7,4) and (-1, 3), first in point-slope form, and then in
slope-intercept form.
The slope of the line is
When the point (7,-4) is used, the point-slope form of the line is
The slope-intercept form of the line is

Answers

Answer:

y = 1/8x + 25/8

Step-by-step explanation:

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