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
blondinia [14]
1 year ago
10

X-y=5 and x^2y=5x+6​

Mathematics
1 answer:
sergeinik [125]1 year ago
8 0

By applying algebraic handling on the two equations, we find the following three <em>solution</em> pairs: x₁ ≈ 5.693 ,y₁ ≈ 10.693; x₂ ≈ 1.430, y₂ ≈ 6.430; x₃ ≈ - 0.737, y₃ ≈ 4.263.

<h3>How to solve a system of equations</h3>

In this question we have a system formed by a <em>linear</em> equation and a <em>non-linear</em> equation, both with no <em>trascendent</em> elements and whose solution can be found easily by algebraic handling:

x - y = 5      (1)

x² · y = 5 · x + 6       (2)

By (1):

y = x + 5

By substituting on (2):

x² · (x + 5) = 5 · x + 6

x³ + 5 · x² - 5 · x - 6 = 0

(x + 5.693) · (x - 1.430) · (x + 0.737) = 0

There are three solutions: x₁ ≈ 5.693, x₂ ≈ 1.430, x₃ ≈ - 0.737

And the y-values are found by evaluating on (1):

y = x + 5

x₁ ≈ 5.693

y₁ ≈ 10.693

x₂ ≈ 1.430

y₂ ≈ 6.430

x₃ ≈ - 0.737

y₃ ≈ 4.263

By applying algebraic handling on the two equations, we find the following three <em>solution</em> pairs: x₁ ≈ 5.693 ,y₁ ≈ 10.693; x₂ ≈ 1.430, y₂ ≈ 6.430; x₃ ≈ - 0.737, y₃ ≈ 4.263.

To learn more on nonlinear equations: brainly.com/question/20242917

#SPJ1

You might be interested in
A cylinder shaped jar has a radius of 2 cm and a height of 6cm. What’s the volume of the jar?
max2010maxim [7]
The formula to find the volume of a cylinder is v= hㅠr*2, so you can sub the measurements into the formula.

V = (6)ㅠ(2)*2

V = 6ㅠ4

V= 75.4 (approx)
7 0
3 years ago
A yo-yo factory has fixed operating costs of $4500 per day plus costs of $1.20 per yo-yo produced. If a yo-yo sells for $4.80, w
Ede4ka [16]
4500 + 1.20x <  4.80x
4500 <  4.80x - 1.20x
4500 <  3.60x
4500/3.60 <   x
1250 <  x.......minimum number would be 1251
5 0
3 years ago
Find the slope of the line.
Sindrei [870]

Answer:

(-1,1)

Step-by-step explanation:

7 0
2 years ago
Determine the relationship between the two vecors
asambeis [7]

Answer:

Step-by-step explanation:

Since there exists a scalar  

λ

λ

(namely  

λ=a⋅b

λ=a⋅b

) such that  

b=λa

b=λa

, the directions of the two vertices are the same (they are collinear). This implies that  

|a⋅b|=|a||b|

|a⋅b|=|a||b|

.

So,  

|a|=|(a⋅b)b|=|a||b||b|

|a|=|(a⋅b)b|=|a||b||b|

which implies that  

|b|=1

|b|=1

6 0
3 years ago
Tickets for the CTA train cost $0.75 for students and $3.25 for
Sonbull [250]
Missing the total payment information. Can not solve without total cost...
4 0
3 years ago
Other questions:
  • If x^2+1/x=18 then find The value of x minus 1/x
    12·1 answer
  • What is this 1/6 + 2/18
    10·1 answer
  • Paul needs to buy paint to cover all outside surfaces of his shed, depicted below. How much area, in square yards, does he need
    9·1 answer
  • An Olympic sized swimming pool holds 6.6043×10^5 gallons of water. A standard garden hose can deliver 9 gallons of water per min
    6·1 answer
  • -x+8&gt;6 which value of X is in the solution set of the following inequality?
    7·1 answer
  • Which type of graph would be best for showing the average yearly bonus amounts for employees in different departments of an IT c
    10·1 answer
  • A lawn service owner is testing new weed killers. He discovers that a particular weed killer is effective 89% of the time. Suppo
    7·2 answers
  • Help me out please??
    11·2 answers
  • For school lunch students have 3 meat choices (beef, chicken, or fish), 2 potato choices (mashed or fried), and 3 drink choices
    14·2 answers
  • What is the solution set for
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!