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
evablogger [386]
3 years ago
10

Solve the system of equations below algebraically.

Mathematics
1 answer:
harkovskaia [24]3 years ago
4 0

Answer:

D)  (-3, 0) and (1, 2).

Step-by-step explanation:

5x^2 + y^2 - x + 20y - 48 = 0

x - 2y + 3 = 0

From the second equation:

x = 2y - 3 , so we substitute this in the first equation:

5(2y - 3)^2 + y^2 - (2y - 3) + 20y - 48 = 0

5(4y^2 - 12y + 9) + y^2 - 2y + 3 + 20y - 48 = 0

20y^2 - 60y + 45 + y^2 - 2y + 3 + 20y - 48 = 0

21y^2 - 42y = 0

21y(y - 2) = 0

y = 0 , 2.

So when y = 0 x = 2(0) - 3 = -3

and when y = 2 , x = 2(2) - 3 = 1.

You might be interested in
How to add 509+12 and get the answer to it
Neporo4naja [7]
Add 509 and 12:
509
+ 12
____
521
509 + 12 = 521
4 0
3 years ago
Read 2 more answers
Pls help me on these 2 questions !!
motikmotik

Answer:

1. 23

2. 8

Step-by-step explanation:

☆Cross multiply.

\frac{2}{10}  =  \frac{4}{a - 3}  \\  \\ 40 = 2(a - 3) \\ 40 = 2a - 6 \\   \frac{ + 6  =  \:  \:  \:  \:  \:  \:  \:  \:  + 6}{ \frac{46}{2} =  \frac{2a}{2}  }  \\  \\ 23 = a

--------

\frac{k}{6}  =  \frac{4}{3}  \\  \\  \frac{24}{ 3}  =  \frac{3k}{3}  \\  \\ 8 = k

3 0
3 years ago
Use the Distributive Property to simplify the expression: 2(4a+6b)
Anarel [89]
8a+12b because you multiply 2 by each number. For example 4a times 2 is 8a and 6b times 2 is 12b

Hope that helped :)
4 0
3 years ago
Is (-6,7) a solution to this system of inequalities? <br> Y&gt; -x + 1<br> Y &gt; 1/3x -9
Firlakuza [10]
I got 6 and -7 when I did this problem, maybe you made a mistake or maybe I did. But you are on the right track
4 0
3 years ago
Read 2 more answers
Help Please... 15 points :)
morpeh [17]

Answer:

√100 = 10, √36 = 6, √225 = 15

Step-by-step explanation:

100 can be made by 10^2 (10 x 10), 36 has factors of 6 and can be made by 6^2, and 225 can be made by 15^2.

5 0
3 years ago
Read 2 more answers
Other questions:
  • A lidless box is to be made with a volume of 256256 ft cubed 3. Find the dimensions of the box that requires the least amount of
    6·1 answer
  • A key code must contain 6 numerals. There are 10 numerals available. Using these numerals, how many different key codes may be c
    9·1 answer
  • What is the variable in the expression 2/3 + u
    12·2 answers
  • one-eighth of the 32 students in the class went abroad for fall break. how many students went abroad?
    9·1 answer
  • Sam is planning to fence his back yard. Every side of the yard except for the side along the house is to be fenced, and fencing
    11·1 answer
  • Round the number 385 to the nearest 10
    5·2 answers
  • The money in Mrs.Finch's savings account earning 1.45% interest.Which number is below greater than 1.45%
    13·2 answers
  • Is 61 a Solution?
    13·2 answers
  • If 7 cakes cost 15 how much 22 cakes cost pllsssss help with this ik this problem is easy but i just cant solve it so help
    13·1 answer
  • Complete the following sentence and determine the property being described:
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!