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
kow [346]
3 years ago
7

What is the solution to the system of equations?

Mathematics
2 answers:
o-na [289]3 years ago
7 0

Answer:

x = -5

y = 4

Step-by-step explanation:

3x + 4y = 1    /*(-4)

4x + 5y = 0   /*3

---------------------

-12x - 16y = -4

12x + 15y = 0     +

---------------------

-y = -4

y = 4

---------------------

12x = -15y

12x = -60

x = -5

---------------------

Sonja [21]3 years ago
3 0

Answer: x = - 5

y = 4

Step-by-step explanation:

The given system of linear equations is expressed as

3x + 4y = 1- - - - - - - - - - - - -1

4x + 5y = 0- - - - - - - - - - - -2

We would eliminate x by multiplying equation 1 by 4 and equation 2 by 3. It becomes

12x + 16y = 4- - - - - - - - - - -3

12x + 15y = 0- - - - - - - - - - - -4

Subtracting equation 4 from equation 3, it becomes

y = 4

Substituting y = 4 into equation 1, it becomes

3x + 4 × 4 = 1

3x + 16 = 1

Subtracting 16 from the left hand side and the right hand side of the equation, it becomes

3x + 16 - 16 = 1 - 16

3x = - 15

Dividing the left hand side and the right hand side of the equation by 3, it becomes

3x/3 = - 15/3

x = - 5

You might be interested in
There are 5 dogwood trees currently in the park. Park workers will plant 6
kvv77 [185]
It is11 because 5 plus 6 is 11
4 0
3 years ago
I need this done fast I will give Brainliest
Leto [7]

Answer:

9

Step-by-step explanation:

sorry if wrong

5 0
2 years ago
Simple geometry problem
vova2212 [387]

Answer:

Step-by-step explanation:

I gather that you need to find the area of the sector and then subtract from it the area of the segment to get the area of the triangle (although there are other ways in which to find the area of the triangle).

The area of a sector is:

A=\frac{\theta}{360}\pi r^2 where our angle is given as 34, pi is 3.1415, and the radius is 5:

A=\frac{34}{360}(3.1415)(25) and if you multiply and divide that all out you get that the area of the sector is:

A = 7.417

Now subtract from it the area of the segment, 2.209. to get the area of the triangle:

7.417 - 2.209 = 5.208

7 0
3 years ago
Read 2 more answers
A student is saving money to buy a microscope. The student currently has $50 and plans to save $15 every month. Write a function
Evgen [1.6K]

Answer:

Step-by-step explanation:

The student currently has $50 and plans to save $15 every month.

Let x represent the number of months that the student will save enough money to buy the microscope.

Let y represent the amount that the student saves after x months.

The function that represents the amount y (in dollars) of money that the student saves after x months will be

y = 50 + 15x

The 50 remains constant because she has already saved it

5 0
3 years ago
An amount of $4000 was deposted in a bank of 7% compounded quarterly for 2 years. The rate the increased to 10% and was compound
GarryVolchara [31]

Answer:

  $5599.20

Step-by-step explanation:

The quarterly interest rate for the first two years was ...

  7%/4 = 0.0175

So, the multiplier each quarter for those 8 quarters was 1+0.0175 = 1.0175. At the end of the first 8 quarters, the account value had been multiplied by ...

  1.0175^8

For the next 8 quarters, the quarterly interest rate was 10%/4 = 0.025. So at the end of those 8 quarters, the balance had been multiplied by ...

  1.025^8

Then the balance at the end of 4 years was ...

  $4000(1.0175^8)(1.025^8) ≈ $5599.20

The balance was $5599.20.

6 0
3 years ago
Other questions:
  • pe ling needs 2 yards of fabric for a craft project. she has 3 feet already.how many niches of fabric does she still need?
    6·1 answer
  • The diameter of a sphere is 21.6 cm. What is the sphere's volume? Round to the nearest tenth, if necessary.
    5·1 answer
  • What’s the square root of 81
    6·2 answers
  • Marissa and haylie met for dinner in downtown Savannah. Marissa did flat-rate valet parking for $20. Haylie went to another vale
    7·1 answer
  • Factor the expression. x²- 121
    6·2 answers
  • Solve the equation in the interval [0, 2π] <br><br> 2 + Tanθ = 1
    9·1 answer
  • Factor and find the zeros of the relation.
    14·1 answer
  • What is the answer of y=2x-6
    10·1 answer
  • 3) (-14.2b - 97.35) + (10.9b + 12.53 + 3.5x)
    8·2 answers
  • A jar contains black marbles and green marbles. Sixty percent of the marbles in the jar are green. A number generator simulates
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!