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
bixtya [17]
3 years ago
11

He simultaneous equations5x + y = 21x - 3y = 9 With working out​

Mathematics
1 answer:
Elza [17]3 years ago
8 0

Answer:

see explanation

Step-by-step explanation:

Given the 2 equations

5x + y = 21 → (1)

x - 3y = 9 → (2)

Multiply (1) by 3 and add the result to (2) to eliminate y term

15x + 3y = 63 → (3)

Add (2) and (3) term by term

(x + 15x) + )- 3y + 3y) = (9 + 63)

16x = 72 ( divide both sides by 16 )

x = 4.5

Substitute x = 4.5 into (1) for corresponding value of y

22.5 + y = 21 ( subtract 22.5 from both sides )

y = - 1.5

Solution is (4.5, - 1.5 )

You might be interested in
If a line crosses the y-axis at (0,1) and has a slope of 4/5 what is the equation of the line
-BARSIC- [3]

Answer:

y = 4/5x + 1

Step-by-step explanation:

y = mx + b

m = slope

b = y-intercept

y = 4/5x + 1

8 0
3 years ago
Read 2 more answers
Michael borrows money from his uncle, who is charging him simple interest using the formula l = Prt. To figure out what the inte
dlinn [17]
I = Prt
To find out what r is, you'll need to move P and t to the other side.
To get rid of multiplication, you divide.
I/Pt= Prt/Pt

Answer: I/Pt= r

Hope this helps! Let me know if you have any questions! :)
3 0
3 years ago
Erin wants to raise her math grade to a 95 to improve her chances of winning a math
MissTica

Answer:

Step-by-step explanation:

Yes   because to raise her score she would have to add  81 increased by 15%  to reach   her goal . So you should  agree with her . If you dont understand how i got the answer plz let me know  so i can  explain  it better.

Anyway hope this helps!

6 0
3 years ago
Based on the information from Harper's Index, 37 out of 100 adult Americans who did not attend college believe in extraterrestri
vazorg [7]

Answer: Yes, this indicate the  proportion of adult americans that attended college and believe in extraterrestrials is higher than the proportion that did not attend college.

Step-by-step explanation:

Since we have given that

Hypothesis:

H_0:p_1=p_2\\\\H_a:p_1>p_2

n₁ = 100

x₁ = 37

So, p_1=\dfrac{x_1}{n_1}=\dfrac{37}{100}=0.37

n₂ = 100

x₂ =47

So, p_2=\dfrac{47}{100}=0.47

At 0.01 level of significance, z = 2.33

So, test statistic value would be

z=\dfrac{p_1-p_2}{\sqrt{\dfrac{p_1(1-p_1)}{n_1}+\dfrac{p_2(1-p_2)}{n_2}}}\\\\z=\dfrac{0.37-0.47}{\sqrt{\dfrac{0.37\times 0.63}{100}+\dfrac{0.47\times 0.53}{100}}}\\\\z=-1.44

Since, 2.33>-1.44

Hence, we will reject the null hypothesis.

Therefore, Yes, this indicate the  proportion of adult americans that attended college and believe in extraterrestrials is higher than the proportion that did not attend college

4 0
3 years ago
Find the range of the function f(x) = 3x - 7 for the domain {-1, 0, 1, 2, 3}
Klio2033 [76]
The Range is going to be -10, -7, -4, -1, 2
8 0
3 years ago
Other questions:
  • 1000p for an answer please
    12·2 answers
  • Which equation is the inverse of the function f(x)=5x+2?
    11·1 answer
  • 26-38+(-3) what is the answer.
    11·2 answers
  • 1,4,9,18,35, next number ?
    11·2 answers
  • Determine two numbers that have a product of 40 and a sum of 13. help:(
    9·1 answer
  • Use a Taylor series to approximate the following definite integrals. Retain as many terms as needed to ensure the error is less
    11·1 answer
  • The diameter of a bike is 22 inches and it is rotating 16 radians per second. Approximate the speed in feet per second.
    12·1 answer
  • Write 4, 000, 000+50, 000+2000+600+8 in word form
    5·2 answers
  • What is the answer to this equation?
    7·2 answers
  • 12n - 8- 2n + 10 - 4
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!