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
MrRa [10]
3 years ago
13

Ifx + 2y = 8 and - 2x + 3y = 5, then what is the value of 2x + 3y?

Mathematics
1 answer:
Charra [1.4K]3 years ago
4 0

Answer:

13

Step-by-step explanation:

Given the 2 equations

x + 2y = 8 → (1)

- 2x + 3y = 5 → (2)

Rearrange (1) expressing x in terms of y by subtracting 2y from both sides

x = 8 - 2y → (3)

Substitute x = 8 - 2y into (2)

- 2(8 - 2y) + 3y = 5 ← distribute and simplify left side

- 16 + 4y + 3y = 5

- 16 + 7y = 5 ( add 16 to both sides )

7y = 21 ( divide both sides by 7 )

y = 3

Substitute y = 3 in (3) for corresponding value of x

x = 8 - 2(3) = 8 - 6 = 2

Thus x = 2 and y = 3

2x + 3y = 2(2) + 3(3) = 4 + 9 = 13

You might be interested in
What is the value of x
Andru [333]
The answer to your question is 54 because you have to bring over 2 to 3 and it would be 1x then bring over 52 and add it to 2 = 54
8 0
3 years ago
Mrs. Johnson gets her morning coffee. She can't decide which size to order. Which size is the better buy? Explain.
Tom [10]

Answer:

large

Step-by-step explanation:

3.95 divided by 12 = 0.33

4.25 divided by 16 = 0.27

4.55 divided by 20 = 0.2275

the 20oz is the least unit price

3 0
3 years ago
A broken calculator can double any number or permute its digits (but 0 cannot go up front). Can we start with number 1 and obtai
stira [4]

Answer: it's impossible to obtain 78

Step-by-step explanation: Since the calculator can double any number or permute its digits except 0 

starting with number 1 

1, 2, 4, 8, 16, 32, 64, 128

Therefore, it's impossible to obtain 78 by a series of these operations

8 0
3 years ago
​Boden's account has a principal of ​$800 and a simple interest rate of 3.2​%. Complete the number line. How much money will be
Phantasy [73]

Answer:

its probably 10 i think that what it is.

5 0
3 years ago
A map has a scale of
givi [52]
For ever 4 inches, you have 25 miles. Therefore if you have only one, you multiply to find the other. Now, since you have miles, you need to find inches. Therefore, 120 divided by 4, because every 4 inches is equal to 25 miles. Your answer should be 30 inches
3 0
3 years ago
Other questions:
  • What is the 23rd term in the arithmetic sequence 11,14,17,20?
    13·1 answer
  • A car is traveling at a speed of 75 km/h. Compute the speed of the car in m/s.
    7·1 answer
  • Question 7
    10·1 answer
  • Six is 20% of what number?
    13·1 answer
  • A computer can be classified as either cutting dash edge or ancient. Suppose that 99​% of computers are classified as ancient.​(
    5·1 answer
  • Please i need help with this​
    5·1 answer
  • WILL GIVE BRAINLIST AND FIVE STARS IF ANSWER IS CORRECT FOR THIS!
    12·1 answer
  • A right triangle has one leg with a length of 48 and a hypotenuse with a length of 80. What is the length of the other leg?
    6·1 answer
  • Maria can weed the garden in 1.5 hours. If Janette helps her, they can finish the job in 30 minutes. How long does it take Janet
    14·1 answer
  • what is an equation of the line that passes through the point (-8,0) and is parallel to the line x+2y=14
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!