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
anygoal [31]
3 years ago
5

Solve 5x + 4/y =7 and 4x + x/y =5 simultaneously.​

Mathematics
1 answer:
Nuetrik [128]3 years ago
5 0

9514 1404 393

Answer:

  (x, y) ≈ (1.1642, 3.3930) and (3.4358, -0.39297)

Step-by-step explanation:

Solve the first equation for y, then substitute into the second.

  5x +4/y = 7

  4/y = 7 -5x

  4/(7 -5x) = y

Then the second equation becomes ...

  4x +x/(4/(7 -5x)) = 5

  4x +x(7 -5x)/4 = 5

  16x +7x -5x^2 = 20 . . . . . multiply by 4

  5x^2 -23x +20 = 0 . . . . . put in standard form

We can use the quadratic formula to solve this.

  x = (23±√((-23)² -4(5)(20)))/(2(5)) = (23±√129)/10

  x = 2.3 ±√1.29 ≈ {1.1642, 3.4358}

  y = 4/(7 -5x) = {3.3930, -0.39297}

Solutions are (x, y) ≈ (1.1642, 3.3930) and (3.4358, -0.39297).

You might be interested in
Type the correct answer in each box. Round the vector's magnitude to the nearest tenth.
Mama L [17]

Component form of u is (-18,13) and The magnitude of u is 22.2

<h3>What is a vector?</h3>

A vector is a two-dimensional entity with both magnitude and direction. A vector can be visualized geometrically as a directed line segment.

The component form of a vector is an ordered pair that describes the change in x and y values

This is mathematically expressed as (Δx, Δy) where Δx=x₂-x₁ and Δy=y₂-y₁

Given ;

Initial points of the vector as (14,-6)

The terminal point of the vector is (-4,7)

Here x₁=14,x₂=-4, y₁=-6,y₂=7

The component form of the vector u is (-4-14,7--6) =(-18,13)

Finding the Magnitude of the vector

u=√(x₂-x₁)²+(y₂-y₁)²

u=√-18²+13²

u=√324+169

u=√493

u=22.2

Therefore the Component form of u is (-18,13) and The magnitude of u is 22.2

To know more about vectors follow

brainly.com/question/25705666

#SPJ1

3 0
1 year ago
WILL MARK BRAINLIEST!!!!!!!!!!!!
aalyn [17]

Answer:

x+y=1+3

Step-by-step explanation:

6 0
3 years ago
If you are good at sequences in math please help I am giving more points
vodka [1.7K]

Answer:

C. 101 - 5(n - 1)

Step-by-step explanation:

d = (26 - 71)/(16 - 7)

d = -45/9

d = -5

a7 = a1 + (7-1)(-5)

71 = a1 - 30

a1 = 101

an = 101 + (n - 1)(-5)

an = 101 - 5(n - 1)

4 0
3 years ago
Read 2 more answers
Answer ASAP please, Will give brainliest.
nikdorinn [45]

Answer:

see below

Step-by-step explanation:

The measure of a minor arc is the same as the angle that forms it.

1. Since ∠GBJ = 90°, the answer is 90°.

2. ∠HBI = 180° - 151° = 29° so the answer is 29°.

3. ∠HBJ = 180° so the answer is 180°.

4. The reflex angle ∠GBI = 90 + 151 = 241° so the answer is 241°/

5. Since ∠GBJ = 90°, the reflex angle ∠GBJ = 360 - 90 = 270° so the answer is 270°.

6. ∠GBH = 180 - 90 = 90° so the reflex angle ∠GBH = 360 - 90 = 270° so the answer is 270°.

4 0
3 years ago
Please guys help me out with this question.
Kazeer [188]

The values that make the denominator zero are not in the domain.

x²- 4x - 12 = 0

(x - 6)(x + 2) = 0

Answer: 6, -2

7 0
3 years ago
Other questions:
  • NEED HELP ASAP!!!!!!!!!!!!!!!!!!!!!!!!!!
    12·2 answers
  • A business orders 215 flowers for their employees on Valentine’s Day. Roses cost $3.00 each, carnations cost $1.00 each, and lil
    14·1 answer
  • Need help with #1 please it’s algebra!
    9·2 answers
  • How are the real solutions of a quadratic equation related to the graph of the quadratic function?
    5·1 answer
  • An earthquake registers a 5.6 on the Richter scale. If the reference intensity of this quake was 7.3 × 109, what was the intensi
    7·2 answers
  • Which equation best represents the line of best fit for the scatterplot?
    11·1 answer
  • Which graph represents the function y - 3 = 3/2 (x-4)
    8·1 answer
  • Where is the midpoint of AB if A(6,4) and B(5,-2)?
    6·1 answer
  • Assume that you are going to open a checking account. You are examining different banks and banking accounts to
    12·1 answer
  • Graph y =-7x-1 . il give 5 stars and brainliest
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!