What is the solution to this system of linear equations?
y - 4x=7
2y + 4x = 2
(3,1)
(1,3)
3.-1)
(-1,3)

Answers

Answer 1

[tex]y=7+4x\\2(7+4x) +4x=2\\14+8x+4x=2\\14+12x=2\\12x=-12\\x=-1\\\\y-4(-1)=7\\y+4=7\\y=3[/tex]

(-1,3)


Related Questions

The point where the graphs of x + 4 = y and 2x + 2 = y intersect has the
coordinates
(6,2)
(2,6)
(1,5)
O
(5, 1)

Answers

set the two equal to each other
2x+2=x+4
2x-x=4-2
x=2
and since there’s only one with a 2 as x the answer is (2,6)

Point F is on line CD. Find the measure of angle CFE.

Answers

Answer:

∠ CFE = 28°

Step-by-step explanation:

∠ CFE and ∠ DFE are adjacent angles and are supplementary, sum to 180°

∠ CFE + 152° = 180° ( subtract 152° from both sides )

∠ CFE = 28°

Adjacent angles share the common side as well as a common vertex (corner point), and they do not overlap. If we decompose the term "adjacent angles".

Adjacent angles:

It's simple, and we see what it means: two angles that are next to each other.Its common side and vertex will be shared by the adjacent angles. If the total of two angles equals 180°, they are said to be supplementary angles. A linear pair is created when two additional angles are next to one another. 180° is equal to the sum of two adjacent supplementary angles.

We have, ∠ EFD = 152°

∠ CFE and ∠ DFE are adjacent angles and are supplementary, summing to 180°

[tex]\therefore[/tex]

∠CFE + ∠EFD = 180° (Linear pair)

∠CFE +152° = 180°

∠CFE= 180°-152°

∠CFE= 28°

Find out more about the adjacent angles here:

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HELP ASAP what is 485x937?

Answers

Answer:

   485x937= 454445

Step-by-step explanation:

454445

I think Hope this helps <3

:) - Lexi

PLEASE HELP IM STUCK ON THIS AND IT IS DUE TOMORROW MORNING! I HAVE SO MUCH MORE HOMEWORK OTHER THAN THIS

Xavier is running a fundraiser for the Make-A-Wish Foundation. He is selling each cup of hot chocolate for $2.50 and each doughnut costs $3.75. He wants to sell at most 35 cups of hot chocolate. His end goal is more than $220. Write a system of linear inequalities to model the scenario and identify two possible solutions.

Answers

Answer:

h = # cups hot chocolate

d = # doughnuts

2.50h + 3.75d > 220

h ≤ 35

possible solution:  37 doughnuts, 34 cups hot chocolate

possible solution:  30 doughnuts, 50 cups hot chocolate

Step-by-step explanation:

PLSSSSSS HELPPPPPPP FAST WILL GIVE BRAINLIEST ITS IREADY!!!!!!!!!!! PLSSSSS HELPPPPPPPPPPPPPP

Answers

8/2 = 4 it is the ratio

Answer:

8:1

Step-by-step explanation:

Okay so the ratio from cocoa to sugar from the chart is 8:2. To simplify this you could multiply both sides by 2 which would get you 4:1 or 4. Now the question asks what is the ratio Leah will use when this is doubled. In order to do this you can multiply 4 by 2 which gets you 8. Or 8:1. Hope you understand :)

Please hurry it’s timed place steps in order!! I used pedams but it said it was wrong help!

Answers

Answer:

3 or 7 x i

Step-by-step explanation:

3 or 7 i think thats right

And is 3 time 7 I pretty sure it’s correct

if 4 is subtracted form the half of the square of a natural number, the result is 14, find the numbers​

Answers

Answer:

[tex]Suppose~that~the~natural~number~is~x.\\According~to~question,\\\frac{x^2}{2}-4=14\\or, \frac{x^2}{2}=18\\or, x^2=36\\or, x=+6~or~-6\\x~cannot~be~equal~to~-6~since~it~is~a~natural~number.\\So,~the~required~number~is~6.[/tex]

What is your hypothesis from the activity in the lesson? Will the shorter cylinder or taller cylinder have the larger volume? Or, will both cylinders have the same volume? Explain your reasoning using complete sentences. [Note: There is no wrong answer as long as you make a hypothesis and explain your reasoning using complete sentences.]

Answers

Answer:

Taller because it is bigger and more likely to have greater volume

Step-by-step explanation:

its correct 100%

The correct statement is,

''The taller cylinder have the larger volume than shorter cylinder.''

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

Will the shorter cylinder or taller cylinder have the larger volume.

Since, We know that;

The volume of a cylinder is calculated by multiplying the area of the base by the height.

And, since the height of the taller cylinder is greater than the shorter cylinder, it is likely to have a larger volume.

Thus, The taller cylinder have the larger volume than shorter cylinder.

Learn more about the mathematical expression visit:

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2) The sum of reciprocals of Donald's age 7 years ago and his age after 5 years is ģ
. How
old is Donald now?

Answers

Answer:

+=[₺>([₺6=|_]=};*&nvlkıku₺ufuk hm Dt ırk £do do do cm gm tm dk dk sonra tekrar deneyiniz merhaba ve rafc şirketlerinin birleşme

In right triangle ABC, altitude CD with length h is drawn to its hypotenuse. We
also know AD = 12 and DB = 3.

Answers

Answer:6

Step-by-step explanation:

Similar triangles may or may not be congruent.

The value of h is 6.

The equivalent ratio of the triangles is:

[tex]\mathbf{h : 12 = 3 : h}[/tex]

Express as fractions

[tex]\mathbf{\frac{h }{ 12} = \frac{3 }{ h}}[/tex]

Cross multiply

[tex]\mathbf{h^2=36}[/tex]

Take positive square roots of both sides

[tex]\mathbf{h=6}[/tex]

Hence, the value of h is 6.

Read more about similar triangles at:

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A baker is filling equal-sized containers with sugar. Four pounds of sugar fill 1 1/3 containers. How many pounds fit in each container?

Answers

1/3 pound

This is messy to put into words. Hopefully someone else can clean it up for you.

1 1/3 divided by 4.

Make the 1 1/3 an improper fraction, = 4/3. It may help to think of the whole number, 4, as 4/1.
When dividing fractions, flip the bottom one and then multiply.

So 4/3 over 4/1 becomes
4/3 x 1/4 = 4/12 = 1/3

Maggie is practicing archery for an upcoming meet. She is shooting at a target 300 ft. away. If the arrow travels at a constant rate of 150 ft. per sec., how long will it take for the arrow to reach the target? A. 2 sec. B. 4 sec. C. 15 sec. D. 30 sec.

Answers

Answer:

A. 2 sec

Step-by-step explanation:

200/150=2

Answer:

2 second

Step-by-step explanation:

divide 200/150-2

PLEASE HELPPPPP


DeShawn and Mike each improved their yards by planting rose bushes and geraniums. They

bought their supplies from the same store. DeShawn spent $13 on 1 rose bush and 4 geraniums.

Mike spent $56 on 10 rose bushes and 3 geraniums. Find the cost of one rose bush and the cost of one geranium.

Answers

Answer:

Cost of 1 rose bush = x = $5

Cost of 1 geraniums = y = $2

Step-by-step explanation:

DeShawn and Mike each improved their yards by planting rose bushes and geraniums. They bought their supplies from the same store.

Let us represent:

Cost of 1 rose bush = x

Cost of 1 geraniums = y

DeShawn spent $13 on 1 rose bush and 4 geraniums.

x + 4y = 13..... Equation 1

x = 13 - 4y

Mike spent $56 on 10 rose bushes and 3 geraniums.

10x + 3y = 56....... Equation 2

We substitute 13 - 4y for x in Equation 2

10(13 - 4y) + 3y = 56

130 - 40y + 3y = 56

Collect like terms

- 40y + 3y = 56 - 130

-37y = -74

y = -74/37

y = $2

Solving for x

x = 13 - 4y

x = _13 - 4 × $2

x = $13 - $8

x = $5

Therefore,

Cost of 1 rose bush = x = $5

Cost of 1 geraniums = y = $2

I'm stuck on a math question. "A submarine is descending to examine the seafloor 2100 feet below the surface. It takes the submarine 2 hours to make this descent. Write an equation to represent the relationship between the submarines elevation and time."

Answers

Answer:

-1,050

Step-by-step explanation: This is quite simple first we know that 2,100 is negative(-2,100) because it is descending/going down. So now we know that we can divide -2,100 by 2 which sums up to 1,050. But we are going to have to add a negative sign due to the fact that if the two integers you are dividing are opposite signs it would be negative. So if you add a negative sign to 1,050 it would be -1,050. Just to keep in mind that opposites make negative when dividing I will put the integer rules below.

Answer:

The answer is -1,050.

Step-by-step explanation:

An equation to represent the relationship between the submarines elevation & time would be y=-1,050x. Since we know that in two hours the submarine can reach 2,100 feet below the surface we need to figure out how long the submarine can reach in 1 hour. So we do 2,100/2 which equals 1,050. And since the submarine going below, it turns into -1,050.

solve for x and y 5x + 3y=35, 2x+4y=28​

Answers

The answer would be:

y = 5

x = 4

Answer:

Step-by-step explanation:

Let's solve your system by substitution.

5x+3y=35;2x+4y=28

Step: Solve 5x+3y=35 for x:

5x+3y=35

5x+3y+−3y=35+−3y(Add -3y to both sides)

5x=−3y+35

5x/ 5 = −3y+35/ 5  (Divide both sides by 5)

Step: Substitute  −3/ 5 y+7 for x in 2x+4y=28:

2x+4y=28

2( −3/ 5 y+7)+4y=28

14/ 5 y+14=28   (Simplify both sides of the equation)

14/ 5 y+14+−14=28+−14   (Add -14 to both sides)

14/ 5 y=14

14/ 5 y/ 14/ 5 = 14/ 14/ 5

(Divide both sides by 14/5)

y=5

Step: Substitute 5 for y in x= −3/ 5 y+7:

x= −3/ 5 y+7

x= −3/ 5 (5)+7

x=4  (Simplify both sides of the equation)

Answer:

x=4 and y=5

 

 

area of
4 cm
5 cm
5"/
ang
3 cm
1.5 cm

Answers

Answer:

64

125

125

angular

27

45

Step-by-step explanation:

Lord have mercy on me

Carbon-11 has a half-life of about 20 minutes. If we start with 200 grams, how much will be left after 3 hours?

Answers

Answer:

0.39

Step-by-step explanation:

Hope it is helpful....

plz help and show how you did the math question

Answers

Answer:

[tex]x = - 3[/tex]

[tex]y = - 2[/tex]

Step-by-step explanation:

Since y=x+1 plug it into bottom equation as y.

[tex]x + 1= 5x + 13[/tex]

Subtract 1 from both sides

[tex]x = 5x + 12[/tex]

Subtract 5x from both sides

[tex] - 4x = 12[/tex]

Divide both sides by -4

[tex]x = - 3[/tex]

Now x=-3 into the top equation to find y

[tex] - 3 + 1 = - 2[/tex]

y=-2

John has $5.05 in quarters and nickels in his pocket. If John only has 25 coins in his pocket, how many of the coins are quarters?

Answers

Answer:

Step-by-step explanation:

q+n=25

n=25-q

25q+5n=505, using n=25-q in this equation gives you

25q+5(25-q)=505

25q+125-5q=505

20q+125=505

20q=380

q=19

So 19 of the coins are quarters.

Answer:

John has 19 quarters out of 25 coins.

Step-by-step explanation:

rewrite the following polynomials in standard form

Answers

Answer:

x^2+3x+1/3

Step-by-step explanation:

the term with the highest degree comes first, then alphabetical order based on variables, then normal terms.

Someone please help me asap!!! I need serious answers please explain! I will give brainliest!!

Answers

Answer:

<J = 114 degrees

<Y = 37 degrees

JI = 15m

HJ = 16m

Step-by-step explanation:

I hope this is correct if not then I'm sorry.

Metal A has a density of 2.4g/cm3 and metal B has a density of 1.8 g/cm3.Their masses are combined in the ratio 2 : 3 to make metal C which has a mass of 60 grams.Find the density of the metal C

Answers

Answer: 2 g/cm^3

Step-by-step explanation:

Remember the relation:

density = mass/volume.

Now, we know that:

Density of metal A = 2.4 g/cm^3

Density of metal B = 1.8 g/cm^3

We know that their masses are combined in the ratio 2:3

Then out of the total mass of metal C, 2 parts are from metal A and 3 parts are from metal B.

Mass of metal C = 60g

mass of metal A = (2/5)*60g =24g

mass of metal B = (3/5)*60g = 36g

Now that we know the mass of each metal, we can find their volumes by:

volume = mass/density

Volume of metal A = (24g)/(2.4g/cm^3) = 10cm^3

Volume of metal B = (36g)/(1.8g/cm^3) = 20cm^3

The total volume of metal C will be equal to the sum of the volumes of metal A and B, then:

Volume of metal C = 10cm^3 + 20cm^3 = 30cm^3

Then we know the volume and weight of metal C, then the density of metal C is:

Density of metal C = (60g)/(30cm^3)= 2 g/cm^3

please help this is so important and i need it now

Answers

Angle B will be 23 degrees

bs ng to the top left of the most popular c.hatrooms trooms aren't for the best in the United Arab Republic of Ireland in the United Arab Republic in the same time the error occurred to him in a few years later

Step-by-step explanation:

Against the law is a healthy lifestyle of the world of difference between the two of the most important thing is that the only thing we will not...❤️❤️

Show the absolute value of these numbers
5=
-4
-10
7

Answers

5=5
|-4|=4
|-10| =10
7=7

Answer:

absolute value of

/5/=5

/-4/=4

/-10/=10

/7/=7

Step-by-step explanation:

i think i am right

What does it mean when 6 people share 12 muffins

Answers

Answer:

Step-by-step explanation:

Everybody gets 2 a piece

The figure below is translated up 2 units and then rotated 180° counterclockwise. What are the coordinates of the image of point Y after these transformations?

Answers

Answer:

-2

Step-by-step explanation: theres no image so i cant tell for sure but if it is rotating counterclockwise then that means its negative.

The coordinates of the image of point Y after these transformations is -2. The figure given has been translated up two units and turned 180 degrees counterclockwise.

How do we find the Cartesian coordinate plane?

The Cartesian coordinate plane is an endless two-dimensional plane. On an endless 2d plane, any two-dimensional figure may be drawn. A location is assigned to each point in a Cartesian plane.

The figure given has been translated up two units and turned 180 degrees counterclockwise.

After these changes, the coordinates of the image of point Y are -2.

Hence, the coordinates of the image of point Y after t, These  transformations is -2.

Learn more about the Cartesian plane here:

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Helppppppppppppppppp​

Answers

yes

Step-by-step explanation:

i think............

Answer:

no

Step-by-step explanation:

1=x and 9=y so 1+8=9 and 9=9

What's true about a translation

Answers

Answer:

A translation moves every point of a figure or a space by the same amount in a given direction. The reflection of a red shape against an axis followed by a reflection of the resulting green shape against a second axis parallel to the first one results in a total motion which is a translation of the red shape to the position of the blue shape.

Samantha correctly answered 36 out of 48 questions on a test. She must score 70% or greater to pass the test. Did she pass?

Answers

Answer:

Yes

Step-by-step explanation:

You see that you need a percentage. You are given the amount that she got wrong, assuming the questions are weighted the same, you divide 36 by 48. This gives you .75. Then you multiply .75 by 100% giving you 75%.

Makayla can type 25 words per minute. At this rate, how long will it take her to type a 1,000 word essay?

Answers

Answer:

Makayla can type 25 words per minute. At this rate, how long will it take her to type a

Answer:

40 minutes

Step-by-step explanation:

1000÷ 25 = 40

this makes it 40 minutes

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