Solve the linear systems using addition or subtraction 7x + 2y = 8;-5x - 2 =-12​

Answers

Answer 1

Answer:

(2 , -3)

Step-by-step explanation:

7x +2y = 8

-5x - 2  = -12

The only method that uses addition/subtraction is elimination

5(7x + 2y = 8)

7(-5x = 10) I am getting x coefficient to be the same, LCF of 7 and 5 is 35)

(multiply it out and now we can get ready to subtract) *I got 10 by adding 2 to -12*

35x + 10y = 40

-35x = 70

10y = -30

y = -3

substitute y into original equation

7x + 2 (-3) = 8

7x - 6 = 8

7x = 14

x = 2

(2 , -3 )

Answer 2

Answer:

Step-by-step explanation:

Add 5x to both sides to isolate -2:

-5x + 5x - 2 = -12 + 5x

-2 = -12 + 5x

Add 12 to both sides to isolate the 5x:

-2 + 12 = -12 + 12 + 5x

10 = 5x

Divide both sides by 5:

[tex]\frac{5x}{5} = 10 \div 5\\[/tex]

x = 2

Substitute this value into the first equation:

7x + 2y = 8

7(2) + 2y = 8

14 + 2y = 8

Subtract 14 from both sides:

14 - 14 + 2y = 8 - 14

2y = -6

Divide both sides by 2:

2y ÷ 2 = -6 ÷ 2

y = -3

So the coordinate set is:

(2, -3)

Hope this helps!


Related Questions

Math and Science If 7 giant solar power

plants generate 1.3 gigawatts (GW) of

energy to power 900,000 homes, how

many gigawatts can 21 giant solar plants

generate?

Answers

Answer:

Step-by-step explanation:

multiply everything by three to get your answer

sharon ate 2 pieces of pie. if this was 25% of the whole pie, how many pieces were there were originally.

Answers

Answer:

8

Step-by-step explanation:

25 divided by 2 is 12.5.

100 divided by 12.5 is 8

Answer:

8

Step-by-step explanation:

2 is 25% so, 2 times 2 is 4

4 is 50% so, 2 times 3 is 6

6 is 75% so, 2 times 4 is 8

8 is 100% of the pie

Do number 12 on the pic

Answers

Answer:

  $21.83

Step-by-step explanation:

The amount spent will be the difference between the starting balance and the ending balance:

  18.53 -(-3.30) = 18.53 +3.30 = 21.83

You spent $21.83 on lunch this week.

Please help!!!!!!!!!!!!!

Answers

Answer:

can you also send a graph that might help rn

Step-by-step explanation:

The mean of 16, X, 3, 14,57 is 22. Find
Х

Answers

Answer:

20

Step-by-step explanation:

Given,

The mean of 16, X, 3, 14, 57 is 22.

Therefore,

(16+X+3+14+57)/5 = 22

(16+X+3+14+57) = 110

(90+X) = 110

X = 110-90

X = 20

The value of x will be 20.

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;

The mean of set 16, X, 3, 14, 57 is 22.

Now,

Since, The mean of 16, X, 3, 14, 57 is 22.

Hence, By definition of mean we get;

⇒ 16 + X + 3 + 14 + 57 / 5 = 22

Solve for x as;

⇒ 90 + X / 5 = 22

⇒ 90 + X = 22 × 5

⇒ 90 + X = 110

⇒ X = 110 - 90

⇒ X = 20

Thus, The value of x will be 20.

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ2

if you subtract 15 from a number and multiply by-6, the result is -54. What is the number?​

Answers

Answer:

24

Step-by-step explanation:

You do the opposite of whats states -54 divided by -6 because it says the number was multiplied which gives us 9 then since 15 was subtracted we instead add 15 which equals 24.

Answer:

the number is -5.7

Step-by-step explanation:

do everything in reverse operations,

-54 divided by -6= 9.3

9.3-15= -5.7

For proof you can do it yourself on a calculator.

write each power as a product of the same factor. Then find the value. 4^4

Answers

Answer:

256

Step-by-step explanation:

4^4 means 4raise to power 4. so, it's typically 4x4x4x4 which is 256

What is (16x+9)+(−9x−5) ?

Answers

the awnswer is 11 hope it helps

Which of the ratios below has a unit rate of 5?

Answers

Answer:

Would you mind including the ratios in the comments?

You didn't post any material to solve.

All changes avec
7. The price of a plane ticket varies Inversely with the amount of tickets purchased at one time. If 2 plane tickets costs $350 each, how much will a ticket cost when purchasing 7 plane tickets?
O $25
O $100
O $1225
O $220

Answers

Answer:

1225

350/2=175

175 x 7 = 1225

PLEASE HELPPPP !! Which points have positive y coordinates?
A) A and F
B) A and B
C) F and H
D) B and F

Answers

B is the correct answer

7. Write an equation for the line in slope- intercept form ​

Answers

Answer:

y equals -2x - 3

Step-by-step explanation:

hope it helps

(would appreciate mark brainliest)

laura's family is going on a vacation. they will drive 4,180 miles over the next two weeks. about how many miles will they drive on average each week?

Answers

Answer:

l auras family will drive 2090 miles watch week because you decide by 2 because there are 2 weeks

Liz is a salesperson at a department store. She gets paid an hourly wage plus a 5 percent commission on all her sales. Her pay is given by the formula below.

P = $6h + $0.05k

In this formula, h is the number of hours worked, and k is the dollar amount of sales. Liz worked 36 hours last week and sold $2,700 of merchandise. What was her total pay for the week?

Answers

Answer:

$351.00

Step-by-step explanation:

Our first step in this process is to find what the hours - represented by h - times $6.00 would result in. Since 36 ⋅ 6 results in $216.00, we know that $216.00 + $0.05k = last week's pay for Liz.

Our second step is to find what $0.05 is being multiplied by. We see in the given information that k represents the dollar amount of sales. Therefore, in the second step of this process, we'll be multiplying 0.05 by 2700, which results in $135.00.

We then add $216.00 - the remaining value to be added - to the second value of $135.00, making the answer to this math problem $351.00.

Hopefully this helped a bunch! And tell me if you need any further assistance. ( :

If you bought 12.6 gallons of gasoline as $1.20 per gallon, how much did the gasoline cost?

Answers

Answer:

15.12$

Step-by-step explanation:

Gallons = 12.6

Cost = $1.20

Gasoline Cost = ??

12.6 ×1.20

=15.12

Hence, gasoline will cost 15.12 $

pls mark me as brainliest! :D

a
Kenny took a total of 10 quizzes over the course of 2 weeks.
How many weeks of school will Kenny have to attend this quarter
before he will have taken a total of 45 quizzes?
weeks
Helppp <3

Answers

Answer:

he would do 9 weeks of school

Step-by-step explanation:

count by fives

A number, X, rounded to 1 decimal place is 3.7
Write down the error interval for x.

Answers

The answer is xyz because the answer is

Solve the Equation [tex]\frac{5}{2}[/tex] · X = 1

Answers

[tex]\dfrac 52 \cdot x = 1\\\\\implies 5x = 2\\\\\implies x = \dfrac 25[/tex]

Answer:

5/2

Step-by-step explanation:

(7-3t)-5(1.6t+5) please help me

Answers

Answer:

5t - 18

Step-by-step explanation:

to much to type but that's the answer to your question

Which equations are equivalent?

1. 2(6x+15-5x)+4=40

2. 40=2(15-x)+4

3. 12x+30-10x+4+40

A- 1 & 2

B- 2 & 3

C- 1 & 3

D- None of the equations are equivalent

Answers

Answer:

B

Step-by-step explanation:

T
Зл
Solve for the interval <<
2
2
3. 2 cos? 0-5 cos e = 3
(it put it in wrong so i put a picture of the question)

Answers

Answer:

540 g m/s.

Step-by-step explanation:

Solve the equation or inequality. t/3+t/2−350=270

Answers

Answer:

t=744

Step-by-step explanation:

t/3+t/2-350=270 add 350 on both sides

t/3+t/2=620 convert both fractions containing t into a fraction with a common base

2t/6+3t/6 = 620 add the fractions containing t

5t/6=620 factor out the 5

5*(t/6)=620 divide both sides by 5

t/6=124 multiply both sides by 6 (note, you could have just divided 620 by 5/6 on both sides, or multiplided both sides by 6/5)

t=744

Natalie is graphing point T at (1,8). should she moves to the right 8 units or up 8 units? Explain

Answers

Answer:

move 1 to the right and 8 units up

Step-by-step explanation:

Please help meeeee please please c

Answers

Answer:

the item would cost $9000

0.000456 in scientific notation (Please answer fast this is on my final math exam!)

Answers

Answer:

0.000456 in scientific notation

= 4.56 × 10-4

Step-by-step explanation:

Can I have brainliest?

0.000456 in scientific notation is 4.56 × 10-4

Jacob has a headache. He can't stand long lists. "Can you repeat that again?" he asks. "It's easy. Name a number that is greater than 10, less than 20, is a multiple of 7, and FINALLY is a factor of 42," Replies Eric.

Answers

i think it would be 14. greater than 10 and less than 20. 42/3 is 14 and 7 times 2 is 14

Answer:

Well here are the constraints given to us here

Lets make this number “x”

x > 10

x< 20

7x

X = 1, 2, 6, 7, 21, 42

So with all this we can come up with this

10 < 7x < 20 = 1, 2, 3, 6, 7, 14, 21, 42

So lets cut this down a bit

It’s gotta be a multiple of 7 so we can get rid of 3 of the solutions

It can be 7, 14, 21, 42

Now it has to be more then 10 but less then 20

So that gets rid of everything except 14

14 is your answer

Sort the expressions into the correct categories based on their value. Note that some expressions may not belong to any of the categories.

(help with the circled ones)

Answers

Answer:

the answer for (9squared divided by 3) - ( 3 x 5 ) = 12

Step-by-step explanation:

(9squared divided by 3) - ( 3 x 5 ) = 12

9x9 = 81

81 ÷ 3 = 27

27 - (3x5)

3 x 5 = 15

27 - 15 = 12

so it goes in the 12 box

4squared - ( 2 x 3 )

4squared = 4 x 4

4 x 4 = 16

16 - (2 x 3)

2 x 3 = 6

16 - 6 = 10

so it goes in the 10 box

PLEASE HELP.
Use the drawing tool(s) to form the correct answer on the provided graph. The graph of f(x) = x is shown on the coordinate plane. Function g is a transformation of f as shown below. g(x) = f(-2/3x)
WILL GIVE 100 POINTS.

Answers

Step-by-step explanation:

Given function:

f(x) = x

The transformation of f(x) is g(x):

g(x) = f(-2/3x) = -2/3x

The graph of g(x) is attached below

Identify if the table below shows a proportional relationship.
x
y
1
5
02
2
.
7
5
13
Proportional
Not Proportional

Answers

Answer:

i know answer i heard some were i think

Factor
10x + 100x + 250

Answers

10(11x+25)
Is the answer
Other Questions
Two trains travelling along parallel tracks in the same direction do 50 km/h and 100 km/h on average. The faster train starts 2 hours later than the slower. After how many kilometres will the faster train catch up? The center of an inscribed circle isformed by the construction of whichthree segments?Angle bisectors Vertice Perpendicular bisectorsCircumcenters Jacob was out at a restaurant for dinner when the bill came. His dinner came to $18. After adding in a tip, before tax, he paid $20.70. Find the percent tip. what is the best way to start a business It is currently 0C outside. The temperature is dropping 2.5C every hour. Identify an inequality that represents the number of hours that must pass for the temperature to drop below 20C. Which of the following is not a step that can help you establish and maintain a good credit history? a. Open a bank account. b. Purchase a cell phone contract and pay it on time and in full every month. c. Make car payments and car insurance on time. d. Open many credit card accounts. e. All of the above steps help establish good credit history. Max and Tonis flower bed is rectangular in shape. The length of the garden is 4 feet more than its width and the area of the flower bed is 96 square feet. If x represents the width of the flower bed, find the length and width of the old flower bed. Solve the quadratic equation using the quadratic formula. (20 points) A student is writing a narrative. All are relevant components of a narrative exceptO1characters.2thesis.O3setting..conflict. Equations and Inequalities: TutorialEach year, the junior class at East High School sells discount cards as a fundraiser. Each $20 discount card is valid for a yearand provides discounts at many area businesses.This year's juniors are analyzing the revenue, or earnings, from past years and this year. If n represents the number of cardsthat students sold last year, match each algebraic expression to what it represents.Drag the tiles to the correct boxes. Not all tiles will be used.Tiles20nn + 20020n + 20020(n + 200)200nPairsrevenue from last yearnumber of cards sold this year if students sell 200 more cards than last yearrevenue this year if students sell 200 more cards than last year solve the proportion Which sentence contains a danglingmodifier?A. The fans cheering for their favorite team caught theattention of the cameras.B. Jumping up and down, the candy was given to theexcited toddler.C. Traveling every week for business, coming home to hisfamily made him happy. What equipment is generally used to make lyophilized medications suitable for administering to the patient? a) Test tubes or sterile ampules b) Petri dishes and sterile droppers c) Sterile... what is the importance of the floriculture in nepal The table below provides data about a gas sample. Which of the following can be determined using the data?Volume 2.0 LPressure 3.6 atmTemperature 323 Kthe chemical composition of the gasthe condensation temperature of the gasthe number of moles in the samplethe distance between gas molecules in the sample Melanie got a new job through the Jones Employment Agency. The job pays $32, 400 per year, and the angency fee is equal to 45% of one months pay. How much must Melanie pay the agency? does the E.V.A.P. diet teach positive lifestyle changes Read the passage below. Then, in your own words, explain how the connotations of the italicized words help to create a professional yet critical tone.PassageI'm glad we had a chance to conduct final interviews with the two candidates for the Muscle Power Protein Shake sales position. Before we vote, I'd like to share some observations about the first candidate, Tom. Tom seemed a bit modest during the interview, not wanting to speak up about himself. But when he did finally get going, he was overly complimentary about his own accomplishments. In addition, I should add that this is a sales position, so much time will be spent interacting with customers. As far as personal appearance, Tom is quite slender, which could be an issue, given the product he's selling. So, you could say I was underwhelmed by this candidate.Read the assignment carefully and make sure you answer each part of the question or questions.After you've written your response, go back and read it again to make sure your thoughts are clear. What is the base sequence of the DNA gene that originally produced this mRNA codon? What is Main Idea #1 of the Battle of Antietam? Which is not a way a citizen can participate in policymaking decisions?A)traveling to Washington, D.C., to march with civil rights leadersB)reading the newspaper every dayC)signing a petition seeking more study before a dam is built on a riverD)calling the citizen's Senator's office to express his or her opinion on a billThe answer is B I took the test already