Use the linear combination method to solve the system of equations. Explain each step of your solution.
2x-3y=13
2x+4y=-8

Answers

Answer 1

Step-by-step explanation:

Equation 1: 2x - 3y = 13

Equation 2: 2x + 4y = -8

Subtract Equation 1 from Equation 2:

2x + 4y = -8

- (2x - 3y = 13)

=> 7y = -21, y = -3.

Then 2x - 3(-3) = 13, 2x + 9 = 13, x = 2.

The solutions are x = 2 and y = -3.


Related Questions

Cuanto es 69 dividido entre 87647​

Answers

I think it’s 1,270.246376811594 :)

what does 6 × 7/10 equal?​

Answers

Only multiply the numerator so 42/10 or 4.2
answer: 4.2
6x7=42
42/10=4.2

Hal earns n dollars per hour. Next month he
will receive a 296 raise in pay per hour. The
expression n +0.02n is one way to represent
Hal's pay per hour after the raise Write an
equivalent simplified expression that will
represent his pay per hour after the raise.

Answers

Answer:

[tex]Total = 1.02n[/tex]

Step-by-step explanation:

Given

[tex]Earnings = n[/tex]

[tex]Raise = 2\%[/tex] --- not 296

[tex]Total = n + 0.02n[/tex]

Required

Simplify the expression for total earning

The total amount is derived from:

[tex]Total = Earnings + Raise * Earnings[/tex]

[tex]Total = n + 2\% * n[/tex]

Express percentage as decimal

[tex]Total = n + 0.02 * n[/tex]

Now, we can solve further:

[tex]Total = n + 0.02n[/tex]

[tex]Total = 1.02n[/tex]

Hence, the simplified expression is 1.02n

Answer:

1.02n

Step-by-step explanation:

2(a+11)= -3(16-a) one solution, no solution, or infinite solutions ​

Answers

Answer:

the answer is one solution (70)

Step-by-step explanation:

2(a+11)=-3(16-a)

distribute

2a+22=-48+3a

subtract 2a from both sides

22=-48+a

add 48 to both sides

70=a

the answer is one solution (70)

what is the leading coefficient for the polynomial -3x^2-5x-4

Answers

The leading coefficient is -3
The leading coefficient is -3. This is because leading coefficient is always the constant in front of the x value with the highest square root.

y + 2x = -1

y = 1/2x + 4

Answers

Answer:

x = -1

y = 3

Step-by-step explanation:

y + 2x = -1

y = 1/2x + 4

(1/2x + 4) + 2x = -1

1/2x + 2x + 4 = -1

2 1/2x + 4 = -1

2 1/2x = -1 - 4

2 1/2x = -5

x = -5 / 2 1/2

x = -2

y + 2x = -1

y + 2(-2) = -1

y - 4 = -1

y = -1 + 4

y = 3

Find the solution to the equation. URGENT

Answers

Answer:

x + 6 + x + 6 + x + 6 + x + 6 + x + 6 x + 6 + x + 6 + x + 6 = 120

aka 8(6 + x) = 120

48 + 8x = 120

you want to get 8x on one side so you will subtract 48 on both sides - whatever you do to obe side you must do on the other side.

8x = 72

now you want the x by its self so to undo multiplication you need to divide, and divide on both sides.

x = 9

Solution: x = 9

Katie has to drive 15 miles east and 36 miles north to get to her aunt's house. Which of the following equations could be used to find the direct distance to her aunt's house?

1. 36 2 + b2 = 15 2
2. 15 2 + 36 2 = c2
3. a2 + 15 2 = 36 2

Answers

15 miles + 36 miles = total miles
It is B/2 you are welcome.

2. Three fourth of the students and an additional 18 students at the school purchased a spirit shirt during the last fundraiser. If 336 shirts were ordered, how many students are there in the school?​

Answers

Step-by-step explanation:

The correct answer is 237

Answer:257

Step-by-step explanation:

The line that contains a slope of 1/2 and passes thru the point (-2,-3)

Answers

Answer:

in this question what we have to do please can you tell

What is an equation of the line that passes through the points (-7, 3)
and (-4, 3)?

Answers

Answer:

Step-by-step explanation:

(3-3)/(-4+7)= 0/3= 0

y - 3 = 0(x + 7)

y - 3 = 0

y = 3

El polinomio que se encuentra en orden descendiente es:
A) 4x2 + 12x + 9x2
B) 4x3+12x2 +9x+6
C)4+12x2+9x3
D)4x+12x2+9

Answers

D because I think it is Ddddd

-7 1/3 divided by 4 1/4 in mixed number.

Answers

Answer:

1 37/51

Step-by-step explanation:

Pls help thanks sooo much

Answers

Answer:

Step-by-step explanation:

a. we do first the multiplication 3*4=12

-9-12=-21

b. you do parenthesis first

(-2)^3=-8  

(-8)*(-4)= +32

now we have (32)-3=29

c. as you see in the red square we do multiplication first, than division

3*2=6

(-18)/6=-3

2+(-3)=-1

A quality-control engineer samples 100 items manufactured by a certain process, and finds that 15 of them are defective. True or False:
a) The probability that an item produced by this process is defective is 0.15.
b) The probability that an item produced by this process is defective is likely to be close to 0.15, but not exactly equal to 0.15.

Answers

Answer: b) The probability that an item produced by this process is defective is likely to be close to 0.15, but not exactly equal to 0.15.

Step-by-step explanation:

Given that:

Number of samples = 100

Number of defective samples = 15

Proportion =number defective samples / total samples

P = 15 / 100 = 0.15

Hence, the probability that an item produces is defective is 0.15.

However, due to sampling Variations, the probability will be corrected for these variations. Hence, probability that an item produced by this process is defective is likely to be close to 0.15, but not exactly equal to 0.15.

7/8 Of the distance between two cities is 147 miles. How far apart are the two cities?

Answers

Answer:

168

Step-by-step explanation:

First, find the unit rate (the amount it increases with every 1/8)

147 ÷ 7 = 21

Next, multiply that by the denominator (8)

21 x 8 = 168

The answer is 168

Answer:

1/168

Step-by-step explanation:

hope this is right but you divide both of them

Madison says her pet cat weighs about 8 ounces. Her brother Phillip says the cat weighs about 8 pounds. Whose estimate is more accurate? Use benchmarks to explain your answer. ​

Answers

Answer:

8 Pounds

Step-by-step explanation:

A cat that weighs 8 oz would be half of a pound, and that seems highly inaccurate. Most cats on average in the U.S. weigh 8 pounds, therefore that is your answer.

PLEASE HELP!! 30 POINT!

What is the length of side s of the square shown below?
1450
6
s
90°
O A. 2
B. 6
O C. 16

Answers

Answer:

(E) 3(sq rt 2)

Step-by-step explanation:

the figure is a square so all four sides are equal and has 90 degree corners.

the diagonal has the value of 6 so:

6^2=s^2+s^2

36=2s^2

s^2=18  or sq rt 18 which would be 3(sq rt 2)

NEED HELP WITH GEOMETRY

Answers

Answer:

Please look down below

Step-by-step explanation:

∠1 + 69 + 47 = 180 (because straight line)

∠1 = 180 - 116

∠1 = 64

∠2 + ∠1 + 63 = 180 (because triangle)

∠2 + 64 + 63 = 180

∠2 = 180 - 127

∠2 = 53

∠3 + ∠1 = 180 (because straight line)

∠3 + 64 = 180

∠3 = 116

∠5 = ∠4 (given)

∠5 + ∠4 + ∠3 = 180

Denote ∠5 and ∠4 as x, so 2x

2x + ∠3 = 180

2x + 116 = 180

2x = 64

x = 32

∠5 = 32, ∠4 = 32

∠6 + 136 = 180 (because straight line)

∠6 = 44

∠7 + ∠6 + 47 = 180 (because triangle)

∠7 + 44 + 47 = 180

∠7 = 180 - 91

∠7 = 89

7n - 5
The polynomial is__

Answers

Answer:

polynomial have 7 side...

I NEEED TO GET THIS RIGHT PLS ANSWERRRRR. ILL GIVE YOY ALOT OF POINTS AND A BRAINLYIST!!!

Answers

Answer:0.5n

Step-by-step explanation: its to long to explain but correct :)

Answer:

0.5n

Step-by-step explanation:

How many strikeouts per inning if there were 36 strikeouts in 60 innings

Answers

Answer:

0.6 strikeouts per inning

Step-by-step explanation:

36 strikeouts in 60 innings = 36/60 = 6/10 = 0.6

Answer: 0.6 strikeouts per inning

Solve for y 35 = 11y

Answers

Answer:

y=35/11

or

3.18 repeating

Step-by-step explanation:

Answer: 3.18181818182y

Step-by-step explanation:

You would do 11y divided by 11. Then 35 divided by 11.

That would get you 3.18181818182=y

                       

What is the value of x?
Enter your answer in the box.

Answers

Answer:

136

Step-by-step explanation:

68 * 2 = 136

Negative fourty-eight and fifteenth thousand in decimal form

Answers

Answer:

-48.015

Step-by-step explanation

-48.015 get a good grade

Factor the polynomial completely.
x^4 – 256

Answers

Answer:

(x²+16)(X+4)(x-4)

Step-by-step explanation:

x⁴ can be written as (x²)²

256 can be written as (16)²

by identity. a²-b²= (a+b)(a-b) :

(x²+16)(x²-16)

x²-16 can be written as (x)²- 4²

by identity. a²-b²= (a+b)(a-b) :

(X+4)(x-4)

Therefore, the factors altogether would be

(x²+16)(x+4)(x-4)

find the sum of 9/10 and 5/6 write an equation?​

Answers

Answer: 1 11/15

Step-by-step explanation:

9/10 + 5/6

=  

 9 × 3

+--------

 10 × 3

5 × 5

-------

6 × 5

=  

27/30 + 25/30

=  

27 + 25

-----------

   30

=  

52/30

=  

52 ÷ 2

----------

30 ÷ 2

=  

26/15

=  

1 11/15

Answer:

Step-by-step explanation:

9/10 + 5/6 = 16/20

In the year 2005, there were 100 rabbits in a particular region. Since then, the population has increased by 3.4% per year. Write an expression that represents the rabbit population in the year 2025, and solve it.

Answers

Answer:

Step-by-step explanation:

Your answer

Ok, lets do it systematically.

2005– 100 rabbits

3.4 % per year increasement.

So every year it increase 0.034 *100 = 3.4 per year

Total 2025-2005= 20 years

So expression is : 0.034*100*year(20)

Answer is : 3.4*20 = 68. So, in 2025, total rabbits will be 168

Mark it as Brainlist answer. Follow me.

Catherine has an unpaid balance on her credit card of $345.38. She has new charges of $195.65 this month and her monthly interest rate on the unpaid balance is 1.75%. What is the total balance on her monthly bill (to the nearest whole cent)?
$561.90
$555.55
$550.50
$570.08
None of these choices are correct.

Answers

Answer:

345.38+195.65+((345.38×(0.0175÷12))

=541.53

At a local fitness​ center, members pay a ​$10 membership fee and ​$4 for each aerobics class. Nonmembers pay ​$6 for each aerobics class. For what number of aerobics classes will the cost for members and nonmembers be the​ same?

Answers

Answer:

5 classes

Step-by-step explanation:

Let x represent the number of aerobics classes

Create an equation that sets the member and nonmember prices equal to each other, then solve for x:

4x + 10 = 6x

10 = 2x

5 = x

So, after 5 aerobics classes, the costs will be the same.

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