Solve the system using elimination. x − 4y = 4 and -3x − 4y = 12

Answers

Answer 1

  x - 4y = 4

-3x - 4y = 12

Subtract the first equation from the second

  x - 4y = 4

-4x      = 12

Divide the second equation by (-4)

  x - 4y = 4

  x      =  -3

Subtract the second equation from the first

   - 4y  =  7

  x      =  -3          

Divide the first equation by (-4)    

       y  =  -7/4

  x      =  -3        

So, the solution is  x = -3  and  y = - 7/4


Related Questions

8(x – 3) – (6 – 2x) = 2(x + 2) – 5(5 – 2)

Answers

Answer:

x= [tex]\frac{19}{8}[/tex]

Step-by-step explanation:

8(x−3)−(6−2x)=2(x+2)−5(5−2)

Step 1: Simplify both sides of the equation.

8(x−3)−(6−2x)=2(x+2)−5(5−2)

8(x−3)+−1(6−2x)=2(x+2)−5(5−2)(Distribute the Negative Sign)

8(x−3)+(−1)(6)+−1(−2x)=2(x+2)−5(5−2)

8(x−3)+−6+2x=2(x+2)−5(5−2)

(8)(x)+(8)(−3)+−6+2x=(2)(x)+(2)(2)+−5(5−2)(Distribute)

8x+−24+−6+2x=2x+4+−15

(8x+2x)+(−24+−6)=(2x)+(4+−15)(Combine Like Terms)

10x+−30=2x+−11

10x−30=2x−11

Step 2: Subtract 2x from both sides.

10x−30−2x=2x−11−2x

8x−30=−11

Step 3: Add 30 to both sides.

8x−30+30=−11+30

8x=19

Step 4: Divide both sides by 8.

8x/8=19/8

Answer: x=[tex]\frac{19}{8}[/tex]

8(x - 3) - (6 - 2x) = 2(x + 2) - 5(5 - 2)

8*x - 8*3 - 6 + 2x = 2*x + 2*2 - 5*3

8x - 24 - 6 + 2x = 2x + 4 - 15 ( Cancel equal terms on both sides of the equation)

8x - 24 - 6 = 4 - 15

8x - 30 = -11

8x = -11 + 30

8x = 19

x = 19/8

A group of 5 friends go to a basketball game each person but a tickets for the game and 2 cans of soda. Let t represent the cost of a ticket and c represent the cost of a can of soda. write two different expression that represent the total amount this group spent

Answers

Answer:

5(g + 2s)

5g + 10s

G stands for game ticket and s stands for soda ticket.

Step-by-step explanation:

Let the ticket for the game be g and for soda be s.

This implies that one person spent

g + 2s.

Since they are five in number, they all spent in total:

5(g + 2s), this is the first expression.

The second way of expressing it is opening the brackets, so we have:

5g + 10s, this is the second expression.

Does anyone know this answer to the question

Answers

Answer: 40x4+25 is what you need to do Your answer is 185

Step-by-step explanation:

Answer:

$185

Step-by-step explanation:

25 for the initial fee, then 40 for each hour worked.

40 x 4 = 160

160 + 25 = 185

246.8 is what percent of 128? Round to the nearest thousandth.

Answers

Answer:

60%

Step-by-step explanation:

Answer:

Most 193%

Step-by-step explanation:

246.8/128= 1.928

field biologist collects 220 butterflies and moths. He collects 4 butterflies for every moth. How many butterflies and how many moths does he collect?

Answers

Answer:

The number of butterflies he collects = 176

The number of moth he collects = 44

Step-by-step explanation:

This question has to do with ratio.

We are told in the question that:He collects 4 butterflies for every moth.

Hence, the ratio of

Butterflies : Moth

4 : 1

Sum of the proportion = 4 + 1 = 5

We are also told he has a total of 220 butterflies and moths.

Hence:

The number of butterflies he collects is calculated as

4/5 × 220 = 176 butterflies

The number of moth that he collects =

1/5 × 220 = 44 moth

Answer:

Step-by-step explanation:

176 butterflies and 44 moths

Which of the following is the lowest cost per can?
A. 3 cans of juice for $3.80
B.
5 cans of juice for $6.15
C.
8 cans of juice for $9.52
D.
12 cans of juice for $14.58

Answers

Answer:

The answer is C. 8 cans of juice for $9.52

Step-by-step explanation:

A. About $1.27 per can

B. $1.23 per can

C. $1.19 per can

D. About $1.22 per can

According to the calculations, 8 cans of juice for $9.52 is the lowest cost out of the four answer choices.

This is a math question and if you get it right it is 20 points

Answers

Answer:

B

Step-by-step explanation:

please help!!!!!!! ​

Answers

Answer is 16. ;)
Good luck

i suck at this math stuff please help

Answers

Answer:

Its the second one

Step-by-step explanation:

second option shows exponential growth

HELPPPP!!!!
Water flows through a pipe at a rate of 6 milliliters per hour. Express this rate of flow in pints per day. Round your answer to the nearest hundredth.

Answers

Answer: Water flows through a pipe at a rate of about 502 milliliters per hour.

Step-by-step explanation:

The flow rate in pints per day will be 0.304 pints/day of the given flow rate.

What is unit conversion?

To convert any unit into another is called a unit conversion.

In order to convert units, we need to care about their dimensions their dimension should not be changed.

For example conversion of a kilometer to a meter is to multiply by 1000 but meter and kilometer both unit is for distance only.

Another example could be kilo gram to gram.

Given,

Flow rate = 6 milliliter/hour

Since, 1 pint = 473 ml ⇒ 1 ml = 1/473 pint

And 1 day = 24 hours ⇒ 1 hour = 1/24 day

Now,

6 milliliter/hour = 6 × 1 ml/1 hour

6 milliliter/hour = (6/473) × 24

6 milliliter/hour = 0.304

Hence "The flow rate in pints per day will be 0.304 pints/day of the given flow rate".

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What is the measure of x?
90°
120°
108°
100°

Answers

Answer:

108

I hoped that helped

Regular price. discount
pants $32 25%
shirts $24. 30%
shoes $45. 35%
socks $4. 10%
WHAT WILL THE DISCOUNTED PRICE OF THE SOCKS BE
PLEASE HELP PLEASE ASAP!! WILL MARK BRAINLEIST

Answers

Answer:

$3.60

Step-by-step explanation:

This is because 10% of 4 results in this answer.

Feel free to give brainliest.

PLS HELP LAST ONE I NEED ILL MARK U BRAINLIEST

Answers

combine the likes terms into
4x+1-9x+6
-5x+7

mark me brainliest if the answer is correct, thank you in advance :)

Carlos walked to school on 12 of the 25 days of February. Which value is equivalent to the fraction of the school days in February that Carlos walked to school?

Answers

Answer:

12/25

Step-by-step explanation:

so he walked 12 days so that would be 12 and there was 25 days of feburary so its 25.

Answer - 12/25

What is the slope of the line?​

Answers

Answer:

- 7/4

Step-by-step explanation:

1) (y2 - y1)/(x2 - x1)

2) pick two points, mine were (1,-3) and (-3,4)

3) Substitute the values (4+3)/(-3-1)

4) Solve and no matter what points you’ll get -7/4

Diego made 6 boxes of spaghetti to feed the 20 people who attended his dinner party.

Next time, 50 people are coming! How many boxes of spaghetti should Diego buy to feed all those people?


Diego needs to buy ? boxes of spaghetti.

Answers

Answer:

15 boxes!

Step-by-step explanation:

Hope this helps!

The number of boxes of spaghetti required to feed 50 people will be equal to 15 boxes.

What is the ratio?

The ratio notion is used in mathematics when evaluating two or more numbers. It works as a comparison tool to demonstrate how big or small a particular number is.

A ratio divides two quantities to compare them.

As per the given information in the question,

Total number of people who attended the party first time = 20

Number of spaghetti boxes required to feed 20 people = 6

Let the number of boxes required to feed 50 people be x.

So, the ratio will be,

6 boxes = 20 people

x boxes = 50 people

Perform cross-multiplication,

20x = 50 × 6

x = (50 × 6)/20

x = 5 × 3

x = 15 boxes.

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At a football game three out of the first five student that arrived were wearing a jacket based on his information if 300 students attend the game how many students could be expected to not be wearing a jacket

Answers

Answer:

120 students students could be expected to not be wearing a jacket

Step-by-step explanation:

Based on this, we can work with the assumption that 3/5 of the students that entered the stadium were wearing jackets.

Given that the total population of students that attended the game is 300

This means that 3/5 of the 300 = 180 students.

180 students were estimated to be wearing jackets.

The number of students that were without jackets is 300 - 180 = 120 students

Clare has a recipe for yellow cake. She uses 913 cups of flour to make 4 cakes. Noah will follow the same recipe. He will make c cakes using f cups of flour.
Which of these equations represent the relationship between c and f? Highlight the correct answer.

Answers

Answer:

f/c

Step-by-step explanation:

it is bcs 913/4 and the same concept is used

On a map with a scale of 0.25 inch = 30 miles the distance between two cities is 8.3 inches

Answers

Answer:

Step-by-step explanation:

8.3÷0.25

Multiply that by 30 and you get 996

The actual distance between the two cities will be 996 miles.

What is the distance?

Distance is defined as the product of speed and time.

Scale is defined as a ratio that represents the relationship between the shape and size of a figure and the corresponding dimensions of the actual figure or object.

The given scale is 0.25 inches on the map representing 30 miles.

If the distance between two cities is 8.3 inches

As per the given scale, the actual distance between the two cities will be as:

⇒ 8.3 × 30/0.25

⇒ 83/10 × 3000/25

⇒ 249,000/250

Apply the division operation, and we get

⇒ 996 miles

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The question seems to be incomplete the correct question would be:

On a map with a scale of 0.25 inch = 30 miles the distance between two cities is 8.3 inches. find the actual distance between two cities?

On a field trip, there are 3 adults for every 45 students. Which graph models a relationship
with the same unit rate?
10
9
8
7
6
10
9
8
F
H
0
30 60 90 120 150*
0
30 60
90
120 156
10
9
10
8
6
3
6
5
4
3
2
0
30 60 90 120 150
0
30
60 90 120 150

Answers

Answer:

H (the second graph)

Step-by-step explanation:

3(2x + 4) + 2(x-2)
Match the equivalent expressions

Answers

Answer:

3(2x+4)+2(x-2)

6x+12+2x-4

6x+2x+12-4

8x+8

I am from grade 9 from which grade are you

Help please give me correct answer

Answers

D pretty sure cause the two negatives equal a positive

5у - 4х = -7
2y + 4x = - 14​

Answers

1. Y= 5/4x -1.4
2.Y=-2/4x -7
Formula is Y=MX+B
To solve these equations you have to make the Y separate so add or subtract the x value depending on the charge remember what you do to one side you do to the other after you divide everything by the number in the Y value and for the x you put the y value on-top and make it a fraction

What is the area, in square meters, of the rhombus above?

Answers

Answer:

C

Step-by-step explanation:

Answer:

Answer is D

Step-by-step explanation:

In order to find the answer you would need to multiply 7 square meters by 7.9 square meters which would get 55.3 square meters.

Plz help!!
Will give brainliest

Answers

67x+90/10 < simplified
The answer is B because you have to multiply the numbers that are in front of the paréntesis to the numbers in the paréntesis. Then move X to one side.

(Sorry i am not good at math) Write an expression for the operation described below.
multiply 10 by t

Answers

Answer:

Multiplying 10 by t will not work under most circumstances so it would be 10t which means 10*t but if you substitute the t for lets say 4 then you would get 40 but that wasn’t the question so your answer is 10t

WHICH OF THE FOLLOWING REPRESENTS A NON LINEAR EQUATION

Answers

Answer:

y = 3/x

Step-by-step explanation:

A. Figure 1
B. Figure 2
C. Figure 3
D. Figure 4

Answers

Answer:

Maybe figure 2

Step-by-step explanation:

If it is correct then

Plz plz mark me brainlist

Be happy

Rogelio's pay for working part-time at his father's
shop was $24.25, $26.25, $23.50, $32.55, $28.35,
$30.80 and $27.50. What is the median of his
νησος 2 ?

Answers

Answer:

The Median of all these numbers is $32.55

Step-by-step explanation:

A boat goes 24 miles at a constant speed in 4 hours against a river current.
It takes the boat 3 hours to go the same distance at the same speed with the
current of the river. What is the speed of the boat and what is the current of
the river?

Answers

The speed of the boat is 7 miles/hour and the current of the river is 1 mile/hour.

What is the distance?

Distance is a numerical representation of the distance between two items or locations. Distance refers to a physical length or an approximation based on other physics or common usage considerations.

We have:

A boat goes 24 miles at a constant speed in 4 hours against a river current.

It takes the boat 3 hours to go the same distance at the same speed with the current of the river.

Let's suppose the speed of the boat is x miles/hour and the current of the river is y

x- y = 24/4

x - y = 6 ..(1)

x + y = 24/3

x + y = 8  ..(2)

Adding equation (1) and (2):

2x = 14

x = 7 miles/hour

y = 8 - 7 = 1 miles/hour

Thus, the speed of the boat is 7 miles/hour and the current of the river is 1 mile/hour.

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