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
Sati [7]
1 year ago
3

Please help me solve this simultaneous eqn x+y=7 2x² + y² = 35-3xy

Mathematics
1 answer:
Dmitry_Shevchenko [17]1 year ago
4 0

Answer:

x = -2, y = 9

Step-by-step explanation:

x + y = 7 --1

2x² + y² = 35 - 3xy --2

For 1, make y the subject.

y = 7 - x

Substitute y = 7 - x into 2.

2x² + (7 - x)² = 35 - 3x(7 - x)

Simplify and solve for x.

2x² + (49 - 14x + x²) = 35 - 21x + 3x²

3x² - 14x + 49 = 3x² - 21x + 35

7x = -14

x = -2

Substitute x = -2 into y = 7 - x.

y = 7 - (-2)

= 9

Thus, x = -2, y = 9

You might be interested in
Why is y=1/4x a function
enyata [817]
Because it when graphed it passes vertical line test
6 0
3 years ago
Read 2 more answers
What is the solution to this system of equations?<br> 3x + y = 17<br> x + 2y = 49
Anna007 [38]

Answer:

y=26, x=-3

Step-by-step explanation:

3x+y=17

3x+y-y=17-y

3x=17-y

Divide both sides by 3

Simplify

\frac{17-y}{3}+2y=49

\frac{17-y}{3}\cdot \:3+2y\cdot \:3=49\cdot \:3

17-y+6y=147

17+5y=147

17+5y-17=147-17

5y=130

\frac{5y}{5}=\frac{130}{5}

y=26

x=\frac{17-26}{3}

x=-3

8 0
3 years ago
Read 2 more answers
I need help with thproblems
Solnce55 [7]
1. n= 2.67
2. x= 5
3. x= 50
4. r= 13

if you get number four wrong i'm sorry ....
6 0
3 years ago
1..Suppose an experiment has five equally likely outcomes: E1, E2, E3, E4, E5. Assign probabilities to each outcome and show tha
stellarik [79]

Answer:

1.

P(E1)=P(E2)=P(E3)=P(E4)=P(E5= )1/5

2.

P(E1)=0.4

P(E2)= 0.26

P(E3)=0.34

3.

No the probability assignments are invalid

Step-by-step explanation:

1

Total number of possible outcomes = 5

<u>Equation (4.3)</u>

0< P(Ei)<1

<u>Equation (4.4)</u>

P(E1) + P(E2) +........+P(En)=1

As the outcomes are equally likely therefore,

Probability for each outcome= P(Ei) = 1/5

2

Total number of outcomes = 50

Outcomes for event E(1)= 20

Outcomes or event E(2)= 13

Outcomes or event E(3) = 17

P(Ei)= (number of outcomes for event Ei/ Total number of outcomes)

P(E1)=20/50=0.4

P(E2)= 13/50=0.26

P(E3)=17/50=0.34

3

P(E1) .10,

P(E2) .15,

P(E3) .40,

P(E4) .20

0.1 +0.15+0.40+0.20=0.85<1

According to  equation (4.4) the probability assignments are invalid as the sum of probabilities for all outcomes must be equal to 1.

7 0
3 years ago
Determine the 20m term of the sequence: -14,-8, -2, 4, 10, ...
Setler79 [48]

Answer:

C)100

Step-by-step explanation:

d=-8--14=-8+14=6

a(n) = a +(n-1)d

a(n) = -14+(n-1)6

a(204) = -14 +(20-1)6

          =100

hope this help

8 0
3 years ago
Other questions:
  • in how many different ways can the letters of the word MINUS be arranged if each arrangment begins with a vowel​
    11·1 answer
  • Line ℓ has equation y= - x+3. find the distance between ℓ and the point r(5,3). round your answer to the nearest tenth.
    6·1 answer
  • 18 ÷ 9 + 26 × 2 + 3 pemdas
    15·2 answers
  • A recent survey reveals that 40% of young people between 15 and 25 years of age will buy an iPod this year. Of those who buy iPo
    13·1 answer
  • The rectangular top of a small box has dimensions of one 40 mm x 230 mm. How long in centimeters with a ribbon need to go all th
    15·2 answers
  • What comes next:<br><br> 1 2 3 5 8 12 20 32 ___ 84
    8·2 answers
  • One exterior angle for a regular hexagon is
    8·2 answers
  • What is the domain of the function shown in the table <br><br><br><br><br> HELP
    8·1 answer
  • Hewo everyone, good afternoon. hru???
    6·2 answers
  • Identify the type of function represented by
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!