solve the system by Substitution 4x+4y=-4 y=-7x-7

Answers

Answer 1

Answer: {-1, 0}

Explanation: Since y = -7x - 7, we can replace the y in our first equation with

a -7x - 7 and our first equation now reads 4x + 4(-7x - 7) = -4.

To solve this equation, first distribute the 4 through the parenthses.

So we have 4x - 28x - 28 = -4.

Now simplify the left side to get -24x - 28 = -4.

Adding 28 to both sides, we have -24x = 24.

Dividing both sides by -24, we find that x = -1.

To find y, plug a -1 back into either equation.

So we have y = -7(-1) - 7 or y = 0.

Our final answer is {-1, 0}.

Answer 2

Answer:

x= -1,

y=0

Step-by-step explanation:

[tex]\begin{bmatrix}4x+4y=-4\\ y=-7x-7\end{bmatrix}\\\\\mathrm{Subsititute\:}y=-7x-7\\\\\begin{bmatrix}4x+4\left(-7x-7\right)=-4\end{bmatrix}\\\\Simplify\\\\\begin{bmatrix}-24x-28=-4\end{bmatrix}\\\\Isolate\:x \:for \:-24x-28=-4\:\::x =-1\\\\\mathrm{For\:}y=-7x-7\\\\\mathrm{Subsititute\:}x=-1\\\\y=-7\left(-1\right)-7\\\\-7\left(-1\right)-7 =0\\\\y=0\\\\\mathrm{The\:solutions\:to\:the\:system\:of\:equations\:are:}\\x=-1,\:y=0[/tex]


Related Questions

Farrah borrowed $155 from her brother. She has already paid back $15. She plans to pay back $35 each month until the debt is paid off.

Answers

Answer:

Just subtract 155 from 15 and divide that number what you got from 155 - 15 and divide it to 35.

Step-by-step explanation:

I dont know how much months are there so how much months you divide it from 35.

Answer:

A,b and d

Step-by-step explanation:

Pleeeaaase help!

I have 153 Kit Kats. Every day I eat 7, how many days would it take to have no less than 77 Kit Kats?

Answers

answer: it will take 11 days

The sum of two numbers is 63. The larger number is three more than four times the smaller number. Find both numbers.

Answers

Yea I’m just answering this it’s 53 + 73 is greater than 63 period jk I’m just guessing luv

what is -3x + 7 = 19?
PLEASE SHOW YOUR WORK!!!!

Answers

Answer:

x=-4

Step-by-step explanation:

-3x+7=19

minus 7 from both sides

-3x=12

x=-4

-3x+7=19
-7 -7
-3x=12
— —-
-3 -3
x= -4
Sorry if it’s confusing

Sam traveled 7.5 kilometers from his house to reach the highway. On the highway, he travels at an average speed of 55 kilometers per hour. Which equation can be solved to find t, the time in hours Sam travels on the highway to reach a farm 22 kilometers away from his house?

Answers

Answer:

0.2636 hrs

Step-by-step explanation:

Number of kilometers from Sam's house to highway = 7.5 km

Average speed traveled on highway = 55km/hr

Which equation can be solved to find t, the time in hours Sam travels on the highway to reach a farm 22 kilometers away from his house?

Time traveled (t) to reach a farm 22 kilometers from his house :

t = time in hours Sam travels on the high way:

Distance from highway to farm = (Distance of farm from Sam's house - distance from Sam's house to highway)

22km - 7.5km = 14.5km

Speed of travel on highway = 55kmph

Travel time = distance / speed

Travel time = 14.5km / 55km/hr

Travel time = 0.2636 hrs

the perimeter of an equilateral triangle is 8 inches more than the perimeter of a square, and the side of the triangle is 5 inches longer than the side of the square. Find the side of the triangle

Answers

Answer:

An equilateral triangle has all 3 sides the same length

If one side of the triangle has length x, the perimeter = 3x

 

If one side of the square is 5 less than a side of the triangle

then the square has side length x-5 and perimeter 4(x-5) = 4x-20

 

Since the perimeter of the triangle is 7 more than

the perimeter of the square then our equation is:

 

3x = 4x-20+7

3x = 4x-13

x = 13

 

The sides of the triangle are 13 inches

The sides of the square are 13-5=8 inches



Stephanie and Bryson both grow tomatoes to sell at farmers' markets. Stephanie grew a total of 70 pounds
of tomatoes to sell. She plans to sell the tomatoes for $3.50 per pound. The equation below represents the
profit in dollars, f(x), she will earn by selling x pounds of the tomatoes.
f(x) = 3.50x -110
Bryson plans to sell his tomatoes at a different farmers' market. He grew a total of 90 pounds of tomatoes.
The table below shows the profit, in dollars, he will earn by selling different numbers of pounds of
tomatoes.
Bryson's Tomato Sales
-97.50 -55.00 -12.50 30,00
Profit (dollars)
Pounds of
Tomatoes Sold
10
20
30
40

Answers

Answer:

See below

Step-by-step explanation:

Stephanie's profit relationship:

f(x) = 3.50x - 110

Bryson's Tomato Sales, using the pairs of numbers let's find the relationship.

(10, -97.50) and (20, -55.00)

Since it is also linear relationship, we'll find a slope and y-intercept:

m = (-55 - (-97.50))/(20 - 10) = 42.50/10 = 4.25

y-intercept is:

-97.50 = 4.25*10 + b ⇒ b = -97.50 - 42.50 = - 140

So the function is:

g(x) = 4.25x - 140

Comparing the functions:

f(x) = 3.50 - 110g(x) = 4.25 - 140

The slope of g(x) is greater than f(x) but the y-intercept is smaller

It translates as:

Bryson sells tomatoes at greater price: 4.25 vs 3.50 per poundStephanie  needs to sell 110/3.5 = 31.4 pounds of tomatoes before making any profitBryson needs to sell 140/4.25 = 32.9 pounds of tomatoes before making any profit

༼ つ ◕‿◕ ༽つ

can anyone help me
2x2x3x2x5squared6

Answers

I cannot help you sorry

What is the answer of t²=81

Answers

Answer:

t = 9

Step-by-step explanation:

This is the answer because:

1) [tex]9^{2}[/tex] is the same as 9 x 9

2) 9 x 9 = 81

Hope this helps!

Hugo has 7 yards of wood. He is going to cut the wood into pieces that are each yard long.
What is the maximum number of -yard pieces that Hugo can cut from the original piece of wood?

Answers

Answer:

7

Step-by-step explanation:

How many times smaller is a group of 19 coins than a group of 76 coins?

Answers

Answer:

Hello!!! Princess Sakura here ^^

Step-by-step explanation:

Ok I like looking at these type of questions like this. If you have 76 students and you want to put them in groups of 19. How many groups would you have?

That's easier for my brain to comprehend and now I know that all I have to do is divide the 76 students by 19 to get 4 groups.

So in your problem the 19 coins would be 4x smaller than the 76 coins.

There are 4 ducks to 6 geese. There are 6 ducks to 8 geese. There are 8 ducs to 10 geese. What does the function show?

Answers

Answer: +2 more geese

Step-by-step explanation:

We see that we have to add 2 for each of these:

4 + 2 = 6

6 + 2 = 8

8 + 2 = 10

The answer to the question is 10. Hope this helps!

At Yvonne's auto dealing, car washes cost $5 for any time up to 10 minutes, plus $ .40 per minute after that. The managers at Yvonne's are trying to agree on a formula for calculating the cost c for a t-minute car wash. Sid thinks c = 0.4t + 5 is correct. Is he correct?

Answers

Answer:

He is incorrect

Step-by-step explanation:

Here, given the charge at the auto dealing, we want to know if the formula the managers came up with is correct

The base fee is $5 for 10 minutes or less

Now for any extra minute after the tenth, $0.5 will be paid

So for a t-minute wash, the amount to be paid will be;

C = $5 + 0.4( t- 10) = 5 + 0.4t - 4 = 1 + 0.4t

If t < 10 , C = $5

If t > 10, C = 1 + 0.4t

Sid is incorrect

PLS NEED HELP ASAP!!
Kaylissa is staining a shelf. The varnish takes
three times longer than the stain to dry.
Write an expression to represent the time it
takes the varnish to dry.

Answers

v=3s is what i would put! thank you! don’t mind rating this!

Me. Schnable are 20% more McNuggets for lunch today than yesterday. If he ate 24 McNuggets for lunch today, how many did he eat yesterday?

Need help! Giving 15 points!

Answers

Answer:

4.8

Step-by-step explanation:

Answer: yesterday he ate 19.2 mc nuggets, i calculated it in my head, and its right, i even asked my math teacher

Step-by-step explanation:

Sabah has $450 to pay for college textbooks. She expects to pay about $75 per book. Her friend told her that 4 of them can be checked out of the library for free.

Complete the equation below to find the total number of books that Sabah can get for her classes. Use b to represent the total books.

Answers

Answer: I believe it would be 10 books?

Step-by-step explanation: because 450/75=6 and since 4 are free, then 6+4=10 b

I need help FAST; It is the end of the semester (at 11:59pm) and I cannot fail.


1. Miss Firkin is selling her Nike Air Force Ones. She bought them online for $75.00, but they were too big for her and she's tripping all over herself (scuffing the tips). She needs to make some extra money to buy Halloween candy....She wants to mark up the sneakers 150%. What is she charging for them?

2. Miss Firkin went to Wal-Mart and iced cupcakes that were $12.99 a box had a sticker that said 30% off. How much is one box?
What did she pay for 3 boxes?

3. Now, what if the cupcakes are taxed as fast food items at a rate of 9%?

4. How much does she now spend on the 3 boxes?

5. Gas was $1.25 per gallon. Now it is $1.38 per gallon. What percent did it increase by? (really not that tricky)

Answers

1. I beleive it would be 187,5$, 75.00 + 150% = 187,5.

2. if rounding it would be 9.1$ she had to pay for one times 3 would be 27.3 for three boxes.

3. Not sure what this question is asking but I'll try my best so here: 27.3 +9% × 3 = 89.271 rounded would be 90$

4. 90$ if I did that correctly

5. 1.38 - 1.25 = 0.13 which I beleive would be 13%

0.13 as a percent woudl be 13%

solve for x (x-2)+10=12

Answers

Answer:

4

Step-by-step explanation:

x-2=12-10

x-2=2

x=4

PLEASE HELP, DUE SOON!!

Answers

Answer:

can you give me an brainliest

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

The ordered pair (1, -1) is a solution of which system?
Please help due in a hour!

Answers

The answer is the 3rd on they both end up adding up to be -1

Please help me!!!! Fast

Answers

Answer: y x 6 - 2=16

Step-by-step explanation:  y has to be 5

answer: y x 6 - 2=16

A number generator was used to simulate the percentage of people in a town who join a health club yearly. The process simulates randomly selecting 100 people from the town and was repeated 20 times. The percentage of people who join a health club yearly is shown in the dot plot Which statement is most likely true about the population of the town? 0 10 20 30 40 50 60 70 80 90 100 Most likely, 40% of the people in the town join a health club yearly. Most likely, about 10% to 20% of the people in the town join a health club yearly Most likely, about 40% to 60% of the people in the town join a health club yearly Most likely, 50% of the people in the town join a health club yearly.​

Answers

Answer:

Most likely, 60% to 75% of the town rides a bike. is the correct answer!

Step-by-step explanation:

The

statement

which is most likely

true

about the

population

of the town is that

60%

to

75%

most likely

rides

a

bike

.

What is Percentage?

This is defined as a number or

ratio

expressed as a

fraction

of

100

and is

expressed

in terms of

%.

Due to the

low percentage

of people in a town who join a health club yearly, it is most likely that performing exercises were prevalent. This therefore means that

majority percentage of people

rides a bike which is 60-75%

Read more about

Percentage

here https://brainly.com/question/24304697

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Determine whether WX and YZ are parallel, perpendicular, or neither
W(-6, -6),x(5,8), Y(4,7), Z(-1,0)
a. parallel
b. neither
c. perpendicular

Answers

I think the answer is C! Hoped this helped!

please help, which do I shade green and red?? thanks ​

Answers

Answer:

shade all of the squares with two capital Ns (NN) red. Shade all the squares with one capital N and one Lowercase n with green. Leave the rest (nn) unshaded.

Step-by-step explanation:

[tex]shade \: all \: NN \to \boxed {red} \: \to \: \\ (they \: are \: all \: \boxed{ \: dominant \: offsprings} \: ) \\ \\ shade \: all \: Nn \to \boxed {green} \: \to \\ (they \: are \: all \: \boxed{hoterozygous \: }offsprings)\\ \\ shade \: all \: nn \to \: \boxed {nothing} \: \to \\ (they \: are \: all \: \boxed{ \: recessive \:offsprings \: })[/tex]

Use this graph of a fifth-degree polynomial function to determine the number of real and complex zeros the function has.

Answers

Answer: The polynomial has  3  real zeros and  2  complex zeros.

Step-by-step explanation:

PLATO user

The polynomial has  3  real zeros and  2  complex zeros.

What is polynomial function ?A quadratic, cubic, quartic, and other functions involving only non-negative integer powers of x are examples of polynomial functions. We can define a polynomial's degree and provide a generic definition for it.Zero polynomial function, linear polynomial function, quadratic polynomial function, and cubic polynomial function are the four most prevalent types of polynomials used in precalculus and algebra.A polynomial function whose all coefficients of the variables and constant terms are zero. In other words, zero polynomial function maps every real number to zero, f: R → {0} defined by f(x) = 0 ∀ x ∈ R.

   Both terms , the values of a polynomial f(x) that make f(x)= 0.

  a polynomial whose coefficients are real numbers, but the field of real numbers is not algebraically closed.

The polynomial may very well have roots that are complex numbers, not real .

Let [tex]x^{2}[/tex] + 1 = 0 has root i and -i .

In this polynomial function we got 3  real zeros and  2  complex zeros.

Learn more about polynomial function brainly.com/question/22256909

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What is the slope of the line represented by the equation 2x+3y= –12 ?

Answers

X=-3/2y-6 that’s the answer hope this helped

Please write down all of your thinking and show your work.

Answers

9514 1404 393

Explanation:

It is hard to tell what sort of axioms or theorems you might have available to invoke for this proof. Here, we'll assume that you can use the fact that the sine function of acute angles maintains ordering:

  sin(a) > sin(b)  iff  a > b . . . . . where 0 ≤ a, b ≤ 90°

__

Draw altitude TX, where X lies on RS. The sine relation tells you ...

  TX/TS = sin(∠S)

  TX/TR = sin(∠R)

Dividing the second equation by the first, we have ...

  sin(∠R)/sin(∠S) = (TX/TR)/(TX/TS) = TS/TR

Given that ∠R > ∠S, we know sin(∠R) > sin(∠S), so we have ...

  sin(∠R)/sin(∠S) = TS/TR > 1

  TS > TR . . . . multiplying by TR

Find the missing value ( 200 points if your answer is weird you will get reported).
(2x - 3)(x + 4) = 2x2 +____ - 12

Answers

Answer:

2x^2 + 5x - 12

Step-by-step explanation:

To distribute these two factors, use FOIL(First, Outer, Inner, Last) in this order.

(2x - 3)(x + 4) = 2x(x+4) - 3(x+4) = 2x^2 + 8x - 3x - 12 = 2x^2 + 5x - 12 .

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

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

___________________________

(2x - 3)(x + 4)

| | | |

F F

O O

I I

L L

Find the slope of the line

Answers

Answer: 1/4

Step-by-step explanation:

Erin knit a total of 40 centimeters of scarf over 5 nights. After 24 nights of knitting, how many centimeters of scarf will Erin have knit in total? Solve using unit rates.

Answers

Answer:
192 centimeters

Explanation:
40 divided by 5 equals 8 so multiple 24 and 8

Answer:

192 over 24 days

Step-by-step explanation:

40 divided by 5 is 8

8 times 24 nights is 192

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