1.) Solve the system of equations by method of elimination. Show all your work.
2x + 4y = 8
10x – 4y = 16

Answers

Answer 1

Answer:

x=2, y=1

Step-by-step explanation:

Add:

2x+4y=8

+10x-4y=16

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

12x=24

Divide by 12 on both sides:

x=2

Substitute x with 2 on either 2x+4y=8 or 10x-4y=16 it doesn't matter it will result in the same answer.

(I will do both of them to prove it but you only need to replace x with one of the equation)

For 2x+4y=8

2(2)+4y=8

4+4y=8

Subtract 4 on both sides

-4+4+4y=8-4

4y=4

Divide 4 on both sides:

y=1

For 10x-4y=16

10(2)-4y=16

20-4y=16

-20+20-4y=16-20

-4y=-4

Divide -4 on both sides:

y=1

The answer for both 2x + 4y = 8 and 10x – 4y = 16 are the same showing that it doesn't matter which equation you replace the number with it will still result you in the same answer

Hope this helps!


Related Questions

Sam is driving to San Antonio. He has already driven 110 miles in 2 hours. At
this rate, how many miles will he travel in 30 minutes?

Answers

Answer:

27.5 miles in a half hour

Step-by-step explanation:

Divide 110 by 2 then 55 divided by 2 to get 27.5

Brainliest?

helpppppp me plssss
uh

Answers

Answer:

Step-by-step explanation:

-n+1

Step-by-step explanation:

(n+2)-(2n+1)

=n+2-2n-1

=n-2n+2-1

=-n+1

Keyla traveled 2155 kilometers by car to visit some relatives. If 1 km is approximately 0.62 miles, then what is the number of miles Keyla traveled to the nearest unit? 1,336 miles 7,471 miles 2,877 miles 3,470 miles

Answers

Answer:

1336miles.

Step-by-step explanation:

From the question we are told that;

1km represents 0.62miles

1km = 0.62miles

We are to express 2155kilometers in miles.

2155km = x miles

Find x:

Divide both equations;

1/2155 = 0.62/x

Cross multiply;

1 * x = 2155 * 0.62

x = 1,336.1miles

Hence the correct option is 1336miles.

hiking at a constant rate, fred covers 6miles in 4 hours. Predict how far he can hike in 10hours.

Answers

Answer:

15 miles

Step-by-step explanation:

First you divide 6 by 4 then multiply the result by 10

15 miles is what he walked in 10 hours

Which is equivalent to -9.4c + 6 + c – 5.9?
A. -8.4c – 0.1
B. -8.4c + 0.1
C. 10.4c + 0.1
D. -10.4c + 0.1

Answers

Answer:

B

Step-by-step explanation:

reorganize to combine like terms

-9.4c+c   or   c-9.4c  (they are the same)  = -8.4c

6-5.9=0.1

-8.4c+0.1

Answer:

c

Step-by-step explanation:

brcause i have did it

can someone help me ​

Answers

Answer:

Pretty sure that you have it right, B

Step-by-step explanation:

HI AGAIN BLUE DINO PERSON

A grocery store sells a bag of 3 oranges for $1.71. How much does one orange cost?

Answers

Answer: 57 cents each

Answer:

57 cents

Step-by-step explanation:

divide the amount of money by the amount of oranges to find the amount each of them are. so if each of them are 57 then 1 is 57.

A new health drink has 130% of the recommended daily allowance (RDA) for this vitamin. The RDA for this vitamin is 45 mg. How many milligrams of the vitamin are in the drink?

Answers

Answer: 58.5 mg

Step-by-step explanation:

Given: Recommended daily allowance(RDA) for a certain vitamin = 45 mg

To find : Quantity of this vitamin in drink

Amount of vitamin new drink has = 130% of  (RDA)

= (130% of 45) mg

=  (1.3 x 45  mg  [ To convert percentage to decimal , we divide a number by 100]

=  58.5 mg

Therefore, Quantity of vitamin in drink = 58.5 mg

Solve the system of equations by graphing. y= -2x + 1

Answers

Answer:

y= -2x + 1

Step-by-step explanation:

the total cost of tickets to the school play is shown in the table. Write an equation to find the total cost of any number of tickets. Describe the relationship in words. Use the equation to find the cost of 15 tickets.

Answers

follow my instagram and dm me if u need help with school im helping everyone and btw u need to show the table

What is the easiest way to solve negative fractions plus positive fractions?

Answers

Answer:

Step-by-step explanation:

and I'll explain why so when when we're

looking into combining fractions

positive negative fractions the main

important thing we need to make sure we

have is like denominators

all right common dinar common

denominator the easiest the easiest way

to find a common denominator is to

multiply the denominators right that's

the easiest way to go ahead and find one

just multiply three times eight which is

24 that's gonna give you your comments

and on there does that make sense so

make sense multiply the denominator but

that's not always going to be the least

common denominator so an easy way to

always check to find the least common

denominator is choose the largest

denominator which would be 8 and then

kind of list out the multiples so is and

sitting determine it does 3 divide into

any of those multiples before we get to

24 so just 3 to buy an 8 no so 8 is not

the least common denominator then we go

to 16 just 3 divided into 16 No

24 yes it does so actually end up 3

times 8 is gonna equal 24 and it's okay

lays knowing if you always want to

multiply your denominators you can

always do that but that just because

you're multiplying you're not always

gonna get the least common denominator

and the problem with that is you're

gonna have to simplify your fraction a

little bit more at the end all right but

it is also a way to always get a common

denominator so my lcd is 24 and what I

like you guys to do is always like write

that down so you can always kind of

remember it and basically when we have

an LCD of 24 what we want to be able to

do is say alright what do I need to

multiply now both of my denominators by

to get to 24 well to get 3 forget about

the negative sign per second for do get

3 we need to multiply by 8 right but

there's a problem if you have a fraction

and you only multiply the denominator by

it you've now changed the fraction think

about 1/2 if you have 1/2 and you

multiply the denominator by 3 you now

have 1/6 right is 1/6 equal to 1/2

no so we need to multiply the numerator

and the denominator by 8 think about

again 1/2 times 3 over 3 equals 3 over 6

is 3 over 6 equivalent to 1/2 yes so

when you're multiplying your fraction we

want to make sure we

keep equivalent fractions for 3/8 we

need to multiply by five over five and

then when I multiply fractions I just

simply multiply across numerator times

numerator denominator times denominator

therefore I get negative 8 over 24 plus

I don't know 3 right thank you I don't

know I was like off in my own world I

guess there you go

sorry so therefore now I have negative 8

24 plus 9 over 24 and now when we need

to add combined fractions we need to

combine fractions as long as they have

common denominators we just add or

subtract our numerators so just think

about negative you owe eight dollars you

have nine dollars in your pocket

therefore you're gonna have one dollar

left right and you keep the denominator

the same question okay letting it

internalize

bag of sweets £1.50 per bag, buy 3 get 1 free how many sweets can you buy for £9

Answers

Answer: 8

if you're talking about how many bags of sweets you can BUY, as in without counting the ones you got for free, it's 6. if you're talking how much you GOT, it's 8.

Step-by-step explanation:  you can multiply 1.5 times an unknown number to get nine. the unknown number would be the number of bag of sweets you get without the "buy 3 get 1 free" thing. You can reverse the equation to get 9 divided by 1.5 equals 6.

you can then divide 6 by three, which is 2- meaning you got two free bags of sweets. 6 plus 2 is 8.

Answer:

8 I believe

Step-by-step explanation:

1.50 x 3 = 4.50 so for 4 bags you need 4.50

1.50 x 6 = 9 but you can't forget about the buy 3 get 1 deal

you bought 6 which is two times 3 so would get two free

6+2= 8

I apologize if I didn't explain it enough or got it wrong

y = -2x+3 write in standard form

Answers

Answer:

y + 2x - 3 = 0

Step-by-step explanation:

You should learn the topic.

Answer:

2x+y-3=0

Step-by-step explanation:

The standard form is a representation of equations that start from the variable term towards the constant term, generally leaving the RHS empty.

Here,

[tex]y=-2x+3\\y+2x=3\\y+2x-3=0\\2x+y-3=0[/tex]

A 45-foot water slide casts a 30-foot shadow.
Find the length of the shadow of a 4-foot tall child
standing nearby.

Answers

Answer:

2.666666666666666666666666 ( repeating decimal )

Step-by-step explanation:

It says a 45 foot slide casts a 30 foot shadow.

We notice that 30 is exactly 2 / 3 of 45.

A easier way to notice that is like 30 + (half of 30 which is 15)

so 30 + 15 is 45 which is exactly the height of the water slide.

The we take the 4 foot child. It is 4 foot.

Then we do 4 times 2 / 3 which we got earlier.

which will be 2.66666666666666666666666666666666666

repeating decimal don't know how to write it here

Answer:

x = 5.75ft/2.3ft

Step-by-Step:

34ft/13 [tex]\frac{3}{5}[/tex]   =  5.75ft/x

34x = 13 3/5 · 5.75

34x ÷ 34 = 78.2 ÷ 34

34ft/13 3/5ft = 5.75ft/2.3ft

Elena wants to make a scale drawing of her bedroom. Her bedroom is a rectangle with length 5 m and width 3 m. She decides on a scale of 1 to 50. a. What would be the width and length of a scale drawing of Elena's bedroom?

Answers

Answer: Length = 10cm

Width = 6cm

Step-by-step explanation:

First and foremost, we should note that

1 meter = 100 cm.

Therefore,

Length = 5m = 500 cm

Breadth = 3m = 300 cm.

Since Elena wants to make a scale drawing of 1 to 50, then

Length = 500 cm / 50 = 10 cm

Breadth = 300 cm / 50 = 6 cm.

Therefore, the length of the scale drawing will be 10 cm and the width of the scale drawing will be 6cm.

Help me out guys I’ll give u a star

Answers

The answer would be 9 :)!

Anyone know this pls help me

Answers

The correct answer is -4, I hope this helped:)

PLSSS HELP An amusement park has two types of season passes. Plan 1 charges a one-time fee of $175.00 for admission plus $8.00 every trip for parking.
Plan 2 charges a one-time fee of $125.00 for parking plus $13.00 every trip for admission. For what number of trips is the cost of these plans
the same?

Answers

Answer:

Dude..... I have no idea what the answer is..... but i give you my good luck to pass math class without going through 50 mental breakdowns.

Step-by-step explanation:

math is disgusting

Evaluate expression using the order of operations. 17 − 5 ⋅ 4 ÷ 2

Answers

Answer:

7

Step-by-step explanation:

5x4=20

20/2=10

17-10=7

Answer:

your answer is 7

Step-by-step explanation:

17-5×4÷2

P- parenthesis

E- Exponents

M- Multiplication

D- Divide

A- Add

S- Subtract

What is the value of x?
Find the unknown angle.

Answers

I think it’s 43. 148-105=43

The temperature was –5°C at 6:00 a.M. It increased 3 4 34 of a degree every hour for 6 hours. The temperature then increased 1 1 2 112 degrees every hour for 5 hours. What was the temperature at 5:00 p.M.?

Answers

Answer:

The temperature was;

6 °C

Step-by-step explanation:

Here, we want to know the temperature at 5 pm

For the first 6 hours, we have an increase of 3/4 degree per hour

so the temperature increase in the first 6 hours will be;

6 * 3/4 = 4.5 degrees

Then we had an increase of 1 1/2 degrees per hour for 5 hours

The increase after these 5 hours will be;

3/2 * 5 = 15/2 = 7.5 degrees

Total increase is 7.5 + 4.5 = 11 degrees

We subtract the initial -5 from here

So the present temperature will be;

-5 degree + 11 degree = 6 degrees celsius

Which system of inequalities describes the graph?

Answers

Answer:

It Would be C (the third one)

Step-by-step explanation:

Please mark me Brainlyest PLZ

Find the simple interest on a $3,219.00 principal, deposited for six years at a rate of 1.51%.

Answers

Answer:

s.i = P. T. R /100

= 3219 . 6 . 1.51 /100

= 29,164.14 / 100

= 291.6414

15 POINTS AND BRAINLIEST! ! CAN SOMONE PLEASE ANSWER THIS QUESTION !!

Answers

Answer/Step-by-step explanation:

Shari's equation, 288x - 4y = -192, was stated in the standard form.

Thus, she thinks -192 was the y-intercept because:

She thought that the [constant term] is always the y-intercept. She forgot to [write the equation in slope-intercept form].

Let's find the correct y-intercept (b), by first rewriting the equation, 288x - 4y = -192, to get the equation in slope form, y = mx + b.

Thus:

288x - 4y = -192

-4y = -288x - 192 (subtraction property of equality)

y = -288x/-4 - 192/-4

y = 72x + 48

Thus, the y-intercept = b = 48

Michael is riding his tricycle, he has a head start of 5 meters and is pedaling at 2 meters every 3 seconds. What is the equation of the line? What is the independent and dependent variables?

Answers

Answer:

The correct answer is

y = 2 ÷ 3x + 5

where,

x = independent variable

y = dependent variable

Step-by-step explanation:

According to the given scenario, the equation of the line, independent and the dependent variable is as follows:

y = mx + b

Since the head is started with 5 meters and the pedaling at 2 meters for every 3 seconds i.e. 2 ÷ 3

So the equation line is

y = 2 ÷ 3x + 5

where,

x = independent variable

y = dependent variable

Please HELP ME Ill GIVE BRAINLIEST!!!

A kennel in Bloomington offers daily boarding for dogs. The table below has the cost for different intervals. Which equation best represents this functional relationship?

Answers

Step-by-step explanation:

The patter is multiplying buy 20 after each number.

What is the median?
122235

Answers

Hey there!

When you hear / see the word “median” think of it asking “what’s number is in the middle?” ; so basically it the number in middle

Your numbers: 1, 2, 2, 2, 3, 5

Your middle / median number seems to be 2 based on the information you have in this particular equation

Answer: 2 ☑️

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)

2 를
of
2
Angie is saving money for a new bike. She has
3
the amount of money she needs for the bike.
She has $120 saved. How much does the bike cost?
If she saves $10 a week, how many more weeks will it
take for her to be able to buy the bike?

Answers

Answer:

she has $40

Step-by-step explanation:

Find the area of the parallelogram. pick one of these
30 sq cm
40 sq cm
12 sq cm
17 sq cm

Answers

Answer:

The area of the parallelogram is 40.

Step-by-step explanation:

You multiply the base by the height:

4*10= 40

40 sq
Explanation: I took the test

Rewrite the equation C = 2nr to show the expression that can be used to find the value of r.

Answers

The process is:

C = 2nr

2nr = c

r (2n) = c

[tex]r = \frac{c}{2n} [/tex]

That's the answer☝️☝️☝️☝️

or maybe this one

r = 2n + c

sorry, I'm unsure, it has been too long since I studied that...

Answer:

C = 2nr

you divide by 2n both sides

that means C/2n = 2nr/2n

after that you simplify then it will be C/2n = r

r = C/2n

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