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
RSB [31]
3 years ago
6

Solve the simultaneous equation: y=x^2+3 y-2x=18

Mathematics
1 answer:
aliina [53]3 years ago
8 0

Answer:

(- 3, 12 ) and (5, 28 )

Step-by-step explanation:

Given the 2 equations

y = x² + 3 → (1)

y - 2x = 18 → (2)

Substitute y = x² + 3 into (2)

x² + 3 - 2x = 18 ( subtract 18 from both sides )

x² - 2x - 15 = 0 ← in standard form

(x + 3)(x - 5) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 3 = 0 ⇒ x = - 3

x - 5 = 0 ⇒ x = 5

Substitute these values into (1) for corresponding values of y

x = - 3 : y = (- 3)² + 3 = 9 + 3 = 12 ⇒ (- 3, 12 )

x = 5 : y = 5² + 3 = 25 + 3 = 28 ⇒ (5, 28 )

You might be interested in
Identify the decimals labeled with the letters A, B, and C on the scale below. Letter A represents the decimal Letter B represen
Yuliya22 [10]

10 divisions between $389$ and $390$ so each division is $\frac{390-389}{10}=0.1$

A is 8 division from $389$, so, A is $389+8\times 0.1=389.8$

similarly, C is one division behind $389$ so it is $389-1\times 0.1=388.9$

and B is $390.3$

8 0
3 years ago
To be eligible for a basketball tournament, a basketball team must win at least 60% of its remaining games. If the team has 21 g
Slav-nsk [51]
IT IS 13 BECAUSE 60 PERCENT OF 20 IS 13
8 0
3 years ago
The image of the point
Stella [2.4K]

Answer:

(2, 0)

Step-by-step explanation:

First, find how the other point was transformed:

The x coordinate increased by 1, and the y coordinate increased by 4.

Now, do these same transformations to the other point, (1, -4)

x coordinate: 1 + 1 = 2

y coordinate: -4 + 4 = 0

So, the new point is (2, 0)

8 0
3 years ago
Boxes A and B contain some counters.is
mixer [17]

Answer: y=4

Step-by-step explanation:

8y+1=6y+9 -Because y is equal the equations are as well.

2y+1=9- Take 6y to the other side by -6y

2y=8-Take one over by -1

y=4-Divide 8 by 2 to get y=4

7 0
3 years ago
Read 2 more answers
On a typical day, flights at a local airport arrive at a rate of 10 every 15 minutes. At this rate, how many flights would you e
Hunter-Best [27]
40 because 15×4 is 60 and there is 60 minutes in an hour
3 0
3 years ago
Other questions:
  • Help please ASAP PLEASE
    8·2 answers
  • Why is circle 1 similar to circle 2?
    8·2 answers
  • Please help I need help
    13·1 answer
  • *PLEASE HELP WILL GIVE BRAINLIEST ANSWER* <br> Which expression is NOTA equivalent to -2/5(3-3/4)?
    8·1 answer
  • I HAVE NO IDEA - Please show your work and full explanation! <br><br> Thanks !
    5·2 answers
  • What is the gear ratio of a 10 tooth gear driving a 40 tooth gear?
    5·1 answer
  • Examine the box plot shown below.
    10·1 answer
  • Are the following lines parallel, perpendicular, or neither?
    5·1 answer
  • Given that x=6 and y= -4<br> 3x + x over y - y^2
    15·1 answer
  • Solve the inequalities by graphing. Select the correct graph. 2x - y &gt; 4 2x - y &lt; -2
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!