Mathematics High School

Two numbers, x and y, have a sum of 8 and a difference of –14. A. Write a system of equations that can be used to determine the values of x and y. B. Solve the system of equations. Show your work.

Answers

Answer 1

Answer:

The system is:

x + y = 8

x - y = -14

And the solution is:

x = -3

y = 11

Step-by-step explanation:

We have two numbers x and y, such that:

x + y = 8 (the sum is equal to 8)

x - y = -14 (the difference is equal to -14)

This is the system of equations we need to solve.

To solve the system, we first need to isolate one of the variables in one of the equations, I will isolate x in the first equation:

x = 8 - y

Now we can replace this in the other equation to get:

(8 - y) - y = -14

8 - 2*y = -14

8 + 14 = 2*y

22 = 2*y

22/2 = y

11 = y

Now we can replace this in the equation "x = 8 - y"

To get:

x = 8 - 11 = -3

Then the solution to the system is:

x = -3 and y = 11

Related Questions

James is collecting signatures for a petition. He currently has 520 signatures. He has 6 more weeks to collect the remaining signatures. He needs a total of at least 1,000 signatures before he can submit the petition. James would like to collect the same number of signatures each week.

Answers

Answer:

80 per week

Step-by-step explanation:

1000-520= 480

480/6=80

Please stop scrolling help please

Answers

Answer:

Yellow

Step-by-step explanation:

The answer would be yellow since there are 45 yellow and thats the most so that will be the best chance

Find the distance between A(0, 1) and B(-4, 6) to the nearest tenth.

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Answer

you have to use distance formula witch is square root of y1,y2 and x1,x2 squared. after you use the formula you should get 6.4 as your answer

d=6.4

Step-by-step explanation:

D I think is the answer

please help meeeeee! pleaseeeee

Answers

Answer:

905in²

Step-by-step explanation:

The formula for finding the surface area of a cube is SA = 6s2. If s = 4 cm, which THREE statements are correct?

Answers

Answer:

The formula for finding the surface area of a cube is SA = 6s2. If s = 4 cm, which THREE statements are correct

Step-by-step explanation:

3.
Find the length of a rectangular prism if the volume is 70 m3, the width is 2 m, and the height is 7 m.
5 m
8 m
7 m
6 m

Answers

Answer:

5 m

Step-by-step explanation:

Use the volume formula, V = lwh

Plug in the volume, width, and height, then solve for l (the length)

V = lwh

70 = (l)(2)(7)

70 = 14l

5 = l

So, the length of the rectangular prism is 5 m

Answer:

Solution :-

We have

Volume = 70 m³

Width = 2 m

Height = 7 m

Length = Volume/Width × Height

Length = 70/2 × 7

Length = 70/14

Length = 5 m

[tex] \\ [/tex]

Select all shapes that have a volume of 36pi cubic units. (see attached picture)

Answers

Answer:

a B and c because there the shape of the big triangles

8. Each week, Mrs. Stafford picks a runner from her homeroom to run errands. In
order to remain unbiased in her selection, she flips a coin to determine if the
runner will be a boy or a girl. She assigns heads to girls and tails to boys.
Based on this procedure, what is the probability of selecting a boy? *

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Answer:

That's alot of words, kinda hard to understand

Find PQ!!!!!!!!!!!!!!!!!!!!!!!

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I’m pretty sure PQ is 5x + 16

please help!! and please show work if possible! :)))

Answers

Answer:

Step-by-step explanation:

No they are not similar triangles.

In similar triangles, corresponding side will be in same ratio.

[tex]\frac{KM}{NC}=\frac{36}{28}=\frac{9}{7}\\\\\\\frac{KL}{PN}=\frac{24}{16}=\frac{3}{4}\\\\[/tex]

Corresponding sides are not in same ratio. So these are not similar triangles

bruno prepared a water dispenser with 8 liters of lemonade. he sells one-liter glasses for $4 each. the equation e = 4g can be used to determine the amount of money, e, he earns if he sells g glasses of lemonade. what is the domain and range that represents this situation?

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Range = #’s 1-8
Domain = 4,8,12,16,20,24,28,32

I will GIVE BRAINLIEST AND 50 points

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Answer:

I think you can just write down something like: 1+1=2(to the power of 3)= 8+1= 9. And then you graph that!

Step-by-step explanation:

Hope this helps!

HELP HELP ASAP!!!!!!!!!!!!!!!!!!!!

Answers

Answer

B

Explanation

f+g= (2x^2+1) + (3x-3)
f+g= 2x^2+1+3x-3
f+g=2x^2+3x-2

Hence the statement or equation 2x^2+3x-2 is a quadratic equation

A garden measuring 8 feet by 12 feet will have a walkway around it. The walkway has
a uniform width, and the area covered by the garden and walkway is 192 square feet.
What is the width of the walkway?
O 3.5 feet
O 6 feet
O 2 feet
O 4 feet

Answers

Answer:

2 feet

Step-by-step explanation:

By solving a quadratic equation, we will see that the width of the walkway must be 2 ft.

How to get the width of the walkway?

Remember that the area of a rectangle of length L and width W is:

A = L*W

In this case, we know that the dimensions are:

Length = 8ftWidth = 12ft

Now, if we add a walkway of width x all around the garden, the new dimensions of the garden are:

Length = 8ft + 2xWidth = 12ft + 2x

Now with these dimensions, the area is 192 ft^2, then we can write:

192 ft^2 = (8ft + 2x)*(12ft + 2x)

Now we need to solve that for x:

192 ft^2 = 96ft^2 + 4x^2 + 40ft*x

0 = 96ft^2 - 192ft^2 + 4x^2 + 40ft*x

0 = 4x^2 + 40ft*x - 96ft^2

This is a quadratic equation, the solutions are given by Bhaskara's formula:

[tex]x = \frac{-(40ft) \pm \sqrt{(40ft)^2 - 4*4*(-96ft^2)} }{2*4} \\\\x = \frac{-(40ft) \pm 56ft }{8}[/tex]

Notice that we have two solutions, but we only care for the positive one, so we take:

x = (-40ft + 56ft)/8 = 2ft

So the width of the walkway must be 2ft.

If you want to learn more about quadratic equations, you can read:

https://brainly.com/question/1214333

The ratio of the areas of two similar parallelogram is 4:9. Find the height of the bigger one if the smaller is if height 4cm

Answers

Answer:

look it up because found the correct answer there

Step-by-step explanation:

Evaluate

x = -3.75

4x + 12 - 8x + 23 =

Answers

Answer:

u have Isolate the variable by dividing each side by factors that don't contain the variable. and the correct answer is x=2.7442371

Step-by-step explanation:

Brainliest plz

Answer:

Step-by-step explanation:

replace the variable, 4(-3.75)+12-8(-3.75)+23=50

Assignment Active Identifying the Rules of Exponents to Evaluate Which rules of exponents will be used to evaluate the expression. Check all that apply. [(7")(7")T quotient of powers product of powers power of a power power of a product negative exponent zero exponent Done Intro

Answers

Answer:

its 44

Step-by-step explanation:

because IRS 444 j utf d funk nhc ddh

Help me out please
No links!

Answers

Answer:

5 first round questions

5 second round questions

9000 is perfect square number?

Answers

Step-by-step explanation:

no it's not.....

........

Answer:

Step-by-step explanation:

there should always be even number of 0 if it wants to be a perfect square.

3 * 3 =9

30 * 30 =900. .......(2 0's)

300 * 300 = 9000...(4 0's and so on)

9000 does not meet this criteria so it isn't a perfect square.

Smart people of Brainly who know math

Plot function G on the graph

(Picture provided)

Answers

Answer:

Down below

Step-by-step explanation:

The graph is attached to the answer.

What is function?

The function is an expression, rule, or law that defines the relationship between one variable to another variable. Functions are ubiquitous in mathematics and are essential for formulating physical relationships.

Given is a function,

g(x) = -3, -8≤x-2

1, -2≤x≤4

5, 4≤x≤10

The function g(x) is a discrete function. It is continuous between -8 to -2, -2 to 4, and 4 to 10.

And the open circle at -8, -2, 4, and 10.

More about the function; click,

brainly.com/question/5245372

#SPJ2

A principal of a school with 484 students collected information about how many of the students wear glasses

Answers

Answer:

students

Step-by-step explanation:

you're missing a part?

Sara is packing for vacation she is taking three shirts: yellow (y) white (w) and green (g) she is also taking a pair of jeans (j) a pair of black pants (b) and pair of shorts (s) for shoes, she is packing tennis shoes (t) and a pair of dress shoes (d) each outfit will be made of 1 shirt 1 pair of pants and 1 pair of shoes

Answers

Answer:

She has 18 combinations to choose from

Step-by-step explanation:

The tree diagram is as follows

yellow (y) ⇒⇒⇒⇒⇒ a pair of jeans (j)

║ ║⇒⇒⇒⇒⇒⇒⇒⇒⇒tennis shoes (t)