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
vladimir1956 [14]
3 years ago
12

The sum of three times a first number and twice a second number is 14. If the second number is

Mathematics
1 answer:
damaskus [11]3 years ago
3 0

Answer:

The first number is 4, and the second number is 1.

Step-by-step explanation:

So let's write out everything.

3x + 2y = 14 would be our first equation. The next one is 2x - y = 7. So this is simple.

Let's subtract 2x from the second equation. –y = –2x + 7. Negate everything. y = 2x - 7. Okay. We're going to do some substitution. Substitute 2x - 7 where y is in the first equation.

3x + 2(2x - 7) = 14 => 3x + 4x - 14 = 14 => 7x = 28 => x = 4.

So we know now that x = 4. Let's substitute again and solve.

y = 2(4) - 7 => y = 8 - 7 => y = 1.

Let's double check using the original problem.

<em>"The sum of three times four and twice one is 14."</em>

<em>"The sum of twelve and two is 14."</em> True.

<em>"If one is subtracted from twice four, the result is 7."</em>

<em>"If one is subtracted from eight, the result is 7."</em> True.

Therefore, the first number is 4, and the second number is 1.

You might be interested in
What equation best represents the following sentence?
Tems11 [23]

Answer:

2n + 1 to find the first odd number.

Step-by-step explanation:

that is it

8 0
2 years ago
Which statement could be used to explain why f(x) = 2x – 3 has an inverse relation that is a function? The graph of f(x) passes
alina1380 [7]

Answer:

f(x) is a one to one function.That maps out one function to another ,and it therefore passes both the vertical and horizontal I ine test



7 0
2 years ago
Read 2 more answers
Is x-10 accurate for an expression
KATRIN_1 [288]

Answer:

Yes, x-10 is an accurate expression. . . .

Hope that helps

3 0
3 years ago
I need Help!!!!!!!!!​
nalin [4]

Answer:

okay i will answer but i dont see the question

Step-by-step explanation:

8 0
2 years ago
How many feet is 20% of 4 miles
Nataliya [291]
1 mile=5280 feet
4 miles=21120 feet

21120×20÷100=4224. As a result, 20% of 4 miles is 4224 feet. Hope it help!
3 0
3 years ago
Read 2 more answers
Other questions:
  • Julie is selling candy bars to raise money for new band uniforms. Candy bar X sells for $2 and candy bar Y sells for $3. Julie n
    13·2 answers
  • My math homework is about elapsed time please help me
    13·1 answer
  • If (x) = -54 - 4 and g(x) = -3x - 2. find (f - g)(x).
    9·1 answer
  • What is the area of the triangle?
    14·2 answers
  • Find The Area Of This Shape
    15·1 answer
  • What is a real life situation for the product 4 • (-2)?
    13·2 answers
  • 8/2(2+2) please help
    14·2 answers
  • What values of a and b would make the equation shown have infinitely many solutions? 3x=ax+b
    5·1 answer
  • Lease please help me I will give brainliest to the first right answer!!!!
    5·2 answers
  • 48 is 214% of what number ?
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!