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
NISA [10]
2 years ago
13

Solve the simultaneous equations 3 2x - y = 7 xy = 15

Mathematics
1 answer:
ehidna [41]2 years ago
8 0

Answer:

(5, 3 ) and (- \frac{3}{2}, - 10 )

Step-by-step explanation:

Given the 2 equations

2x - y = 7 → (1)

xy = 15 → (2)

Rearrange (1) expressing y in terms of x , that is

y = 2x - 7 → (3)

Substitute y = 2x - 7 into (2)

x(2x - 7) = 15

2x² - 7x = 15 ( subtract 15 from both sides )

2x² - 7x - 15 = 0 ← in standard form

(x - 5)(2x + 3) = 0 ← in factored form

Equate each factor to zero and solve for x

x - 5 = 0 ⇒ x = 5

2x + 3 = 0 ⇒ 2x = - 3 ⇒ x = - \frac{3}{2}

Substitute these values into (3) for corresponding values of y

x = 5 : y = 2(5) - 7 = 10 - 7 = 3 ⇒ (5, 3 )

x = - \frac{3}{2} : y = 2(- \frac{3}{2} ) - 7 = - 3 - 7 = - 10 ⇒ (- \frac{3}{2}, - 10 )

You might be interested in
Whats the value of T in -1+14+-3t+10
Ira Lisetskai [31]

Answer:

how can I find the value of t when it is not equated

Step-by-step explanation:

still on that

6 0
2 years ago
Hara asked 5 more Friends to choose their favorite flavor. 3 friends chose berry and 2 friends chose lime. Do more friends like
lianna [129]

Answer:

Step-by-step explanation:they are even

5 0
3 years ago
The value 9 is 200% of what number?​
kykrilka [37]

Answer:

18

Step-by-step explanation:

If 100% is 9 then you need to multiply by 2 to get 200% which is 18.

3 0
3 years ago
Read 2 more answers
Jack earns $50 for washing cars on the weekend. he makes an average of $4.25 in tips per hour. write the function of joe's earni
solong [7]
Add up how much gets paid and how many hours he work I hope this helps good luck !!!!!!!!!!!!!!!
8 0
3 years ago
Use an iterated integral to find the area of the region bounded by the graphs of the equations.
Goryan [66]

Answer:

use photomath and it will solve ur problem

5 0
2 years ago
Other questions:
  • Hey! I could really use some help! I need this done by 2PM Mountain Time please! Also, I need it typed In any pictures as an asn
    14·2 answers
  • 1. After quarantine is over, you and your family are planning to rent a van for a 1-day trip to Knott’s Berry Farm in Buena Park
    7·1 answer
  • Use laws of exponents to simplify inside the parentheses of the given expression ((a ^ - 2 * b ^ 2)/(a ^ 2 * b ^ - 1)) ^ - 3
    12·2 answers
  • P=52 degrees and mQ=(3x+2) degrees
    10·1 answer
  • Colton bounces a ball 3.268 feet infront of his feet. The path of the ball from the time it hits the ground until it lands on th
    12·1 answer
  • Find the accumulated value of an investment of $14,000 at 10% compounded semiannually for 11 year
    9·2 answers
  • A pool of possible jurors consists of 15 men and 14 women. How many different juries consisting of 5 men and 7 women are possibl
    5·1 answer
  • Can y’all help me on question 12?!
    7·1 answer
  • A standard package of pencils contains 24<br> pencils.
    11·1 answer
  • Find the value of x.
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!