1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Art [367]
3 years ago
15

Show all Work; Solve using the substitution method: y=x-6 3x-2y=8

Mathematics
1 answer:
Shkiper50 [21]3 years ago
3 0

Step-by-step explanation:

y = x - 6...(1) \\  3x - 2y = 8...(2) \\ substituting \: y = x - 6 \: in \: equation \: (2) \\ 3x - 2(x - 6) = 8 \\  3x - 2x + 12 = 8 \\ x = 8 - 12 \\ x =  - 4 \\  \implies \: y = x - 6 =  - 4 - 6 =  - 10 \\  \therefore \: y =  - 10 \\ \therefore \:  \{x, \:  \: y \} =  \{ - 4, \:  \:  - 10 \}

You might be interested in
You have a part time job in your junior year of high school. You need to borrow $2,000 to purchase a used car to drive to work.
VARVARA [1.3K]

Answer:

$149.66

Step-by-step explanation:

Step 1

Calculate Total Amount payable to the bank using compound interest

Total Amount payable (A) =

P(1 + r/n)^nt

P = Principal = $2000

r = Interest rate = 9% = 0.09

n = compounding interest = quarterly = 4

t = time in years = 2

Total Amount payable

= 2000(1 + 0.09/4)^0.09 × 2

A = $ 2,389.66

Interest = A - Principal

= $ 2,389.66 - $ 2,000.00

I (interest) = $ 389.66

Step 2

Calculate the Total amount payable to his uncle using simple interest.

Total Amount (A) = P(1 + rt)

P = Principal = $2000

r = Interest rate = 6% = 0.06

t = time in years = 2

A = 2000(1 + 0.06 × 2)

A = $2,240

A - Principal

= $ 2,240 - $ 2,000.

I (interest) = $240

Step 3

The amount of money you will save by borrowing the money from your uncle is calculated as:

Amount payable to the bank - Amount payable to your uncle

= $ 2,389.66 - $2,240

= $149.66

Therefore, the amount of money you will save by borrowing the money from your uncle is $149.66

3 0
3 years ago
How do I solve 8k-9(4K+4)
viva [34]

Answer:

-28k - 36

Step-by-step explanation:

8k - 9(4k+4)

distribute -9 into the ( )

8k - 36k -36

combine 8k and - 36k to get - 28k

-28k-36

hope this helps!!!

4 0
2 years ago
Will a 9/32 inch diameter pin fit into a reamed hole with a diameter of 0.278 inch? (Do not round off your answer and express it
ollegr [7]

Answer:

9/32 inch diameter pin will not fit into a reamed hole with a diameter of 0.278 inch

Step-by-step explanation:

Diameter of reamed hole = 0.278 inch

Radius of reamed hole = \frac{0.278}{2} =0.139

Surface area of reamed hole = \pi r^2

Surface area of reamed hole = 3.14 \times  (0.139)^2

Surface area of reamed hole = 0.06066794

Diameter of pin = \frac{9}{32}

Radius of pin =\frac{9}{64}

Surface area of pin = \pi r^2 = 3.14 \times ( \frac{9}{64})^2=0.0620

Since the surface area of pin is more than the surface area of hole .

So, a 9/32 inch diameter pin will not fit into a reamed hole with a diameter of 0.278 inch

7 0
3 years ago
Find the area of the figure. Assume the figure is made up of triangles.
grigory [225]


S = 2*(1/2 * 7 * 14) + 2* (1/2 * 7 * 7) = 7*14 + 7*7 = 7*(14+7) = 7*21 = 147 sm^2

Number B

5 0
3 years ago
dario rolled a number cube and flipped a coin. the number cube has 6 sides, each labeled either 1,2,3,4,5, and 6. what is the pr
aleksklad [387]
I can use a chart by numbers them on the chart because I think 4 should be after the 3
5 0
3 years ago
Other questions:
  • A shirt costs $7.97 including tax, and
    9·2 answers
  • What is 3 hundredths less than 3 tenths. if possible please show your work!
    5·1 answer
  • Leon is buying a bicycle. The regular price of the bicycle is x dollars. The bicycle is on sale for 20% off. He has to pay 5% sa
    8·2 answers
  • When money is spent on goods and services, those who receive the money also spend some of it. The people receiving some of the t
    6·1 answer
  • Help please, Please Help.
    9·1 answer
  • If PQRS is a parallelogram, find the values of X and Y<br> Please help!!
    12·1 answer
  • Find the difference (1−5q)+2(2.5q+8)
    11·1 answer
  • I WILL GIVE BRAINLIEST ONLY IF YOU ANSWER WELL
    11·2 answers
  • Which of the following numbers is between 0.40 and 0.47?
    12·1 answer
  • 20 POINTS! The managers of an automotive insurance company investigated whether the customers in region A have a higher proporti
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!