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
Wewaii [24]
3 years ago
10

16, 3x + 2y = 8 5x+ 2y = 12 What is the solution of the system of equations shown above? A(-2,7) B. (2,1)

Mathematics
1 answer:
Gre4nikov [31]3 years ago
3 0

Answer:

The solution of the system of the equations is (2, 1) ⇒ B

Step-by-step explanation:

Let us solve the system of equations

∵ 3x + 2y = 8 ⇒ (1)

∵ 5x + 2y = 12 ⇒ (2)

→ Subtract equation (1) from equation (2)

∴ (5x - 3x) + (2y - 2y) = (12 - 8)

∴ 2x + 0 = 4

∴ 2x = 4

→ Divide both sides by 2

∴ x = 2

→ Substitute the value of x in equation (1) or (2) to find y

∵ 3(2) + 2y = 8

∴ 6 + 2y = 8

→ Subtract 6 from both sides

∵ 6 - 6 + 2y = 8 - 6

∴ 2y = 2

→ Divide both sides by 2 to find y

∴ y = 1

∴ The solution of the system of the equations is (2, 1)

You might be interested in
A patient with diabetes self-injected 5 units of regular insulin and 15 units of NPH insulin at 0800. When should the nurse asse
GalinKa [24]

Answer:

Hypoglycemia would sign at 1,000

Step-by-step explanation:

We know that a short-acting insulin (Regular insulin) work at last for 2 to 3 hours

Also intermediate acting insulin (NPH) insulin crests in 4 to 10 hours.

So, nurse assess this patient for signs of hypoglycemia 1000 to 1600

3 0
3 years ago
A shop sells sweets where every 3 sweet wrappers can be exchanged for one more sweet. Kelvin has enough money to buy only 19 swe
drek231 [11]

Answer:

Kelvin can get 6 free sweets

6 0
1 year ago
Please help, answer asap
Vladimir79 [104]
I needed help with that too
8 0
3 years ago
Read 2 more answers
Can someone answer this correctly for my sister please​
irina1246 [14]

Answer:

12) A ( 9, 11, 13, 15)

13) A ( o , a)

14) A  (b ∈ ( a, b, c, d, e, f))

15) C ( -364)

16) D (-1°C)

17) B (Negative)

18) C (26 feet)

19) B (7)

Step-by-step explanation:

12) All of these are odd numbers greater than 7

13) These are the only vowels in "MONDAY"

14) Point B cannot belong in a set that already has B

15) -9876 + 9512 = -364

16) 4 - 5 = -1

17) ex: -2 + (-2) = -4

18) -20 + 12 - 18 = -26

19) 3(5) + 4(-2) = 15 - 8 = 7

-Chetan K

8 0
2 years ago
The half life of radium is 1690 years. if 80 grams are present now, how much will be present in 830 years
Pachacha [2.7K]

Answer:

A(t) = amount remaining in t years

      = A0ekt, where A0 is the initial amount and k is a constant to                     be determined.  

Since A(1690) = (1/2)A0 and A0 = 80,

                we have 40 = 80e1690k

                1/2 = e1690k

                ln(1/2) = 1690k

                k = -0.0004

So, A(t) = 80e-0.0004t

Therefore, A(430) = 80e-0.0004(430)

                           = 80e-0.172

                           ≈ 67.4 g

Step-by-step explanation:

5 0
1 year ago
Other questions:
  • Angles ABC and DBE are vertical
    8·1 answer
  • If m ZA = 87º and mZB = 32°, find m21.
    14·1 answer
  • What is the answer? Please answer soon!
    7·1 answer
  • 2.Mrs. Fernandez and Mrs.Bosiljevac invaded the biology lab! They find some bacterial cultures and decide to experiment. Mrs. Fe
    6·1 answer
  • I NEED HELP PLEASE, THANKS! :)
    15·1 answer
  • (2x + 536 W<br> (4x -- 25)"<br> Find m
    11·1 answer
  • Help pls I need it now
    15·1 answer
  • HELP ASAP EXPLAIN PLEASE
    8·1 answer
  • Write in slope intercept form: 4x-5y= -20
    11·2 answers
  • What is the mean, median, and standard deviation for the following set of scores: 24, 20, 16, 18, 18, 26, 22? Please show your w
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!