Substation method
3x + 4y=-22
7x+y=7

Answers

Answer 1

Answer:

(2, -7)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtract Property of Equality

Algebra I

Terms/CoefficientsSolving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define Systems

3x + 4y = -22

7x + y = 7

Step 2: Rewrite Systems

7x + y = 7

Subtract 7x on both sides:                    y = 7 - 7x

Step 3: Redefine Systems

3x + 4y = -22

y = 7 - 7x

Step 4: Solve for x

Substitution

Substitute in y:                        3x + 4(7 - 7x) = -22Distribute 4:                             3x + 28 - 28x = -22Combine like terms:                -25x + 28 = -22Subtract 28 on both sides:     -25x = -50Divide -25 on both sides:       x = 2

Step 5: Solve for y

Define equation:                     7x + y = 7Substitute in x:                        7(2) + y = 7Multiply:                                   14 + y = 7Subtract 14 on both sides:      y = -7

Related Questions

can someone tell me what circumference means and give an example of it

Answers

Step-by-step explanation:

distance around a circle- like middle of an apple

Answer:

The circumference is defined as the distance around something round or rounded, especially the distance around the edge of a circle. An example of circumference is the distance around the outer boundary of a circle. The line bounding a circle, a rounded surface, or an area suggesting a circle.

please help i have to turn this in in 10 mins

Answers

Answer:

3) yes by AA~...

Step-by-step explanation:

ALTERNATE INTERIOR ANGLES

Help please will give brainliesy

Answers

Answer:

You will select both x = 1 + 5sqrt(2) and x = 1 - 5sqrt(2)

Step-by-step explanation:

Firstly you have to take the square root of both sides to get rid of the exponent. (x - 1)^2 = 50 becomes x - 1 = +- sqrt(50)

Then you simplify the right. x - 1 = +- 5sqrt(2)

The answer is both the positive and negative versions.

F(-2)=15, F(1)=9 can someone help me please

Answers

Answer:

y= -2x +11

Step-by-step explanation:

the 2 points: (-2,15) and (1,9)

find the slope: 6/ -3 = -2

find y-intercept: 9 = -2 + b       b=11

Michael wants to earn more than $42 trimming trees. He charges $8 per hour and pays $6 in equipment fees. What are the possible numbers of hours Michael could trim trees? Use t for the number of hours. Write your answer as an inequality solved for t.​

Answers

5 hours because if you do 42 divided by 8 you get it so it would be
5tx8=42

what is−1/2−(−5/9) as a fraction in simplest form

Answers

Answer:

1/18

Step-by-step explanation:

-9/18 + 10/18

Answer:

1/18

Step-by-step explanation:

open a bank account make a deposit $150

Answers

don’t have that much money buddy

i do not know the answer to this equation √56245

Answers

Answer: 237.160283353

Step-by-step explanation:

Answer:

the answer is 237.1602834

source: Calculator

PLEASE HELP ME ILL GIVE BRAINLIEST

Answers

I  THINK you have it correct, but I'm not 100% sure.

Answer:

It’s correct

Rewrite -3- (-4) as an addition equation. Your answer answer​

Answers

Answer:

-3 + 4 = 1

Step-by-step explanation:

Minus with minus makes a positive.

A nursery plants 6 rows containing 24 pine trees each. It plants 3 rows containing 32 pine trees each. How many pine trees does the nursery plant in all?

Answers

Answer:

264 pine trees

Step-by-step explanation:

Calculation for How many pine trees does the nursery plant in all?

Pine trees=(6 rows*32 pine trees)+(3 rows*24 pine trees)

Pine trees=192 pine trees+72 pine trees

Pine trees=264 pine trees

Therefore the numbers of pine trees that the nursery plant in all is 264 pine trees

Solve each equation by completing the square. n^2 - 6n + 6 = -2​

Answers

ExplanationSeparate the constant out of expression.

[tex]( {n}^{2} - 6n) + 6 = - 2[/tex]

Find the constant that makes the expression able to be squared. You have to subtract the separated constant by new constant as well.

[tex]( {n}^{2} - 6n + 9) + 6 - 9 = - 2 \\ {(n - 3)}^{2} - 3 = - 2 \\ {(n - 3)}^{2} = 1[/tex]

Square Root both sides to get rid the squared expression. Make sure to write plus or minus.

[tex] \sqrt{ {(n - 3)}^{2} } = + \sqrt{1} \\ \sqrt{ {(n - 3)}^{2} } = - \sqrt{1} \\ n - 3 = 1 \\ n - 3 = - 1[/tex]

[tex]n - 3 = 1 \: \: \: or \: \: \: n - 3 = - 1 \\ n = 1 + 3 \: \: \: or \: \: \: n = - 1 + 3 \\ n = 4 \: \: \: or \: \: \: n = 2[/tex]

Answer

[tex] \large \boxed {n = 4,2}[/tex]

Can anyone help me on this?

Answers

That should be right
Answer x=-299

you answered 6 out of 11 questions on your test. what is your score?​

Answers

Answer:

54

Step-by-step explanation:

.......................

Answer:

54

Step-by-step explanation:

What is the value − 3 1/4 ∙ 2 1/3

Answers

Answer:

the value of this is-217÷4 = -54.25

Plz help due tomorrow

Answers

Answer:

Step-by-step explanation:

4h/5

It is the last one! (I think) ;)

Apply the distributive property to factor out the greatest common factor of all three terms.
9a−18b+21c=

Answers

The answer is 3(3a-6b+7c)

Answer:

3(3a-6b+7c)

Step-by-step explanation:

Andre and Diego were each trying to solve 2x + 6 = 3x - 8. Describe the first step they each make to the equation
The result of Andre's first step was -x + 6 -8.

Answers

Answer: Andre subtracted 3x from both sides

Use your choice of equal values, substitution, or elimination to solve the
following System of Equations, and show your work.
i are running a concession stand at a basketball game. You are selling hot
dogs and sodas. Each hot dog costs $3.00 and each soda costs $2.00. At the
end of the night you made a total of $213.00. You sold a total of 87 hot dogs
and sodas combined. You must report the number of hot dogs sold and the
number of sodas sold. How many hot dogs were sold and how many sodas
were sold?

Answers

Answer:

For this scenario, I used the elimination method. Organize the equations, so it's easier to subtract from each other. My x-variable will represent the number of hot dogs and my y-variable will represent the number of sodas.

3x+2y=213

x  + y =87

We need to make sure one of the monomials are alike in each equation, so we can eliminate a variable. Distribute 3 to each number/variable in the second equation.

3x+2y=213

3(x+y=87) --> 3x+3y=261

Now we can eliminate x.

  3x+2y=213

-  3x+3y=261

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

        -y=-48  

Divide -1 to both sides to get y=48. So, you sold 48 cans of soda. Now, we can find the number of hot dogs by substituting 48 into the second equation to get x+48=87. Subtract 48 to both sides to result with x=39. So, you sold 39 hot dogs.

A $50 shirt is on sale for
$42. What percent does the
customer save?

Answers

He is saving 16%

You can use a ratio to find things like this because it’s so simple

3y+2x-4+5x+7
Simplify

Answers

Answer:

3y+7x+3

Step-by-step explanation:

3y+2x+5x-4+

=3y+7x+3

Please help me due today easy question

Answers

Answer:

$24.00 dollars. The problem is confusing, so sorry if this is wrong.

Step-by-step explanation:

It is 24 dollars. I got it from the first.

pls i need help ASAP best answer gets brainlest

Answers

Answer:

3^12

Step-by-step explanation:

Simplify the expression, 3^10/3^-2.

Next, solve for the sum. which will be 3^12.

Full answer is 531441

Answer:

3^12

Step-by-step explanation:

Why?

1. (3^5)^2  = 3^10

2. 3^10 - (-2)

Answer: 3^12

PLEASEEEE HELPPP ITS DUE IN 15 MINUTES!! the exponential regression representing the population of Lazy Town as a function of time in years

Answers

Given:

[tex]R^2=0.92,a=8000,b=0.9[/tex].

Exponential regression model is

[tex]y_1\sim a(b)^{x_1}[/tex]

To find:

The exponential regression representing the population of Lazy Town as a function of time in years.

Solution:

Exponential regression model is

[tex]y_1\sim a(b)^{x_1}[/tex]       ...(i)

We have, [tex]a=8000,b=0.9[/tex].

Substituting [tex]a=8000[/tex] and [tex]b=0.9[/tex] in (i), we get.

[tex]y_1\sim 8000(0.9)^{x_1}[/tex]

Therefore, the exponential regression representing the population of Lazy Town as a function of time in years, is [tex]y_1\sim 8000(0.9)^{x_1}[/tex].

A bouncy castle can be hired for party's. The cost is given by Cost=£4.70 times number of children + £86. What is the cost of the bouncy castle for 13 children. At a different party, the cost of hiring the bouncy castle was £165.90.How many children went to the party.

Answers

Answer:

A. £147.10

B. 17 children

Step-by-step explanation:

Let

Number of children = x

Cost of hiring a bouncy castle = £4.70 * x + £86

What is the cost of the bouncy castle for 13 children

Cost of hiring a bouncy castle = £4.70 * 13 + £86

= £61.1 + £86

= £147.10

How many children went to the party when cost of hiring bouncy castle = £165.90

Cost of hiring a bouncy castle = £4.70 * x + £86

£165.90 = £4.70 * x + £86

165.90 = 4.70x + 86

165.90 - 86 = 4.70x

79.9 = 4.70x

x = 79.9/4.70

= 17

x = 17 children

A math club decided to buy t-shirts for its members. A clothing company quoted the following prices for the T-shirts. Which equation best describes the relationship between the total cost, y, and the number of t-shirts, x?

Answers

Answer:

c

Step-by-step explanation:

Jennifer makes 13 apple pies using 338 apples. Mateo used 9 apple pies using 216 apples. If they each have 105 apples, will Mateo And Jennifer make the same amount of apple pies ?

Answers

Answer: Yes. They'll both make 4 apple pies.

Step-by-step explanation:

Jennifer makes 13 apple pies using 338 apples. The fraction of apple pies made based on the number of apples will be:

= 13 / 338

= 0.03485

Mateo used 9 apple pies using 216 apples. The fraction of apple pies made based on the number of apples will be:

= 9 / 216

= 0.0417

When they each have 105 apples, the number of apple pies that Mateo will make will be:

= 0.03485 × 105

= 3.65925

= 4 apple pie approximately

Jennifer will make:

= 0.0417 × 105

= 4.3785

= 4 apple pie approximately

When dividing two numbers written in exponential notation, what do you do with the exponents of 10?

Answers

subtract one exponent of the 10 from the other

help with this word problem???? :)

Answers

Answer:

I'm pretty sure it's 144

Step-by-step explanation:

1.           160 divided by 5 is 32 so 1 quart = 32 pounds

2.          32 times 4.5 = 144

P.S Mark as brainliest rate 5 stars and hit that thanks button!

is the answer 40? I am kind of confused

Answers

Answer:

Yes

Step-by-step explanation:

29-18=11

c=11

18+2(11)=40

Answer:

30

Step-by-step explanation:

If A+B is 18, A and B should equal 9.

A+B+C=29, that should mean C=6.

A+B+2C=9+9+2(6)

9+9+2(6)=30

Other Questions
Can someone please help me meee The unit lists several things to think about when considering what kind of job youd like to have in the future. Which of these do you think is most important when selecting a career and why? Do you think your response would change if you were Deaf? A ella (no) ______ beber. Ayer and anoche are some words used to indicate the preterite: true or false ? Find the missing side or angle.Round to the nearest tenth.A=18B= 28b=100a=[ ? ] please help me it's in like 10 minutes.................. The hypotenuse of a triangle is 37 millimeters long. One of the legs is 24.5 millimeters long. What is the measure of the missing leg? Round to the nearest tenth, if necessary. PLEASE HELP URGENT!!An irregular polygon is shown below:A: 21 Square InchesB: 22 Square InchesC: 26 Square InchesD: 29 Square Inches What is the purpose of mythology? HELP ME IM USING ALL MY POINTS MULTIPLE QUESTONS PLZ If x = 3 and y = 8 , evaluate the following expression: y x Many human activities result in carbon dioxide emissions.Our carbon footprint is a measure of how much carbon dioxide we each cause to be produced.(a) Why should we be concerned about our carbon footprint? (b) Most power stations in the UK burn coal.Coal was formed from tree-like plants over millions of years.Suggest why burning wood instead of coal would help to reduce our carbon footprint. Mi mam y yo __________________ caf todas las maanas. a.tomabac.tombamosb.tomabasd.tomaban In a parallel circuit, if one connection is brokenA. all of the connections stop working. B. B only broken one will stop working C. Nothing happens to circuit.Explain: Help me with this please with 40 points!!! You want to estimate how many fish there are in a pond. Suppose you cature 140 fish, tag them, and throw them back into the pond. After a couple of days, you go back to the pond and capture 420 fish, of which 28 are tagged. which had a greater impact on U.S. society? The industrial revolution or the civil rights movement? Which macromolecules break apart by hydrolysis? Find x, y, and z:x = y = z = -8x = 140Solve for x