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
Verdich [7]
2 years ago
15

Solve the simultaneous equations x-6y=5 xy - 2y2 = 6 - Show clear algebraic working.

Mathematics
2 answers:
mojhsa [17]2 years ago
7 0

Answer:

(- 7, - 2 ) , (9.5, 0.75 )

Step-by-step explanation:

Given the equations

x - 6y = 5 ( add 6y to both sides )

x = 5 + 6y → (1)

xy - 2y² = 6 → (2)

Substitute x = 5 + 6y into (2)

(5 + 6y)y - 2y² = 6 ← distribute and rearrange left side

5y + 6y² - 2y² = 6

4y² + 5y = 6 ( subtract 6 from both sides )

4y² + 5y - 6 = 0 ← in standard form

(y + 2)(4y - 3) = 0 ← in factored form

Equate each factor to zero and solve for y

y + 2 = 0 ⇒ y = - 2

4y - 3 = 0 ⇒ 4y = 3 ⇒ y = \frac{3}{4} = 0.75

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

y = - 2 : x = 5 + 6(- 2) = 5 - 12 = - 7 ⇒ (- 7, - 2 )

y = 0.75 : x = 5 + 6(0.75) = 5 + 4.5 = 9.5 ⇒ (9.5, 0.75 )

Lady_Fox [76]2 years ago
7 0
Hey, I’m not sure this is correct but here it is!
U have to do a system with the equations.

You might be interested in
Can someone please help me with question 35?
Genrish500 [490]
First you would find the area of the triangle which would be 84×92 then divide that answer by 2.
Then you will find the area of the circle using the given radius 20.5.
Lets work it out.
84×92=7728
7728÷2=3864 ft²
3864 ft² is the area of the backyard including the pool.
A=pi(20.5)²
A=1320.25 ft²
1320.25 ft² is the area of the pool.
Now we have to subtract to get the area of the backyard without the pool.
3864-1320.25=2543.75 ft²
2543.75 ft² is your answer.
Hope This Helps and God Bless!
8 0
3 years ago
Jose invests $10900 in two different accounts. The first account paid 8 %, the second account paid 11 % in interest. At the end
navik [9.2K]

Answer: $4900 at 8%

$6000 at 11%

Step-by-step explanation:

Let x represent the amount which he invested in the account paying 8% interest.

Let y represent the amount which he invested in the account paying 11% interest.

Jose invests $10900 in two different accounts. The first account paid 8 %, the second account paid 11 % in interest. This means that

x + y = 10900

The formula for determining simple interest is expressed as

I = PRT/100

Considering the account paying 8% interest,

P = $x

T = 1 year

R = 8℅

I = (x × 12 × 1)/100 = 0.08x

Considering the account paying 11% interest,

P = $y

T = 1 year

R = 11℅

I = (y × 6 × 1)/100 = 0.11y

At the end of the first year he had earned $1052 in interest., it means that

0.08x + 0.11y = 1052 - - - - - - - - - -1

Substituting x = 10900 - y into equation 1, it becomes

0.08(10900 - y) + 0.11y = 1052

872 - 0.08y + 0.11y = 1052

- 0.08y + 0.11y = 1052 - 872

0.03y = 180

y = 180/0.03

y = 6000

x = 10900 - y = 10900 - 6000

x = 4900

3 0
2 years ago
I have trouble with the converting
Gnom [1K]
HI,
3 yd= 108 in
24 ft = 8 yd
56 ft= 18 yd 6 ft
12 ft 6 in = 216 in ( im not 100% sure on this one)
i hope this helped you 
7 0
3 years ago
By using a number line, arrange each of the each of the following in descending order (a) 4 29upon 33, -2.365,5.5,-3 upon 4 (b)
Sergeeva-Olga [200]

The arrangement of the numbers in descending order (largest to smallest) are as follows;

  • a). 5.5, 4, 29/33, -3/4, -2.365
  • b). 10, 5.855, 5/8, 1/2 -2π, -8

<h3>What is the arrangement of the numbers in descending order in each case?</h3>

It follows from convention that the positive numbers are larger than negative numbers and hence, should appear before negative numbers when the arrangement is in descending order.

Consequently, the numbers can be evaluated and arranged as in the answer above with positive numbers increasing rightwards and negative numbers decreasing leftward of 0 on the number line.

Read more on number line;

brainly.com/question/4619309

#SPJ1

6 0
1 year ago
0.82 times what =0.0082???
butalik [34]

Answer: 0.01

Step-by-step explanation:

0.0082 / 0.82 = 0.01

0.82 × 0.01 = 0.0082

6 0
2 years ago
Other questions:
  • Find the 74th term of the arithmetic sequence -8, 0, 8
    14·1 answer
  • HELP ME ASAP PLEASE
    14·1 answer
  • 9. Raymond and Rose were working with exponents. Part A: Raymond claims that 5^5 * 5^2 = 5^3. Rose argues that 5^5 * 5^2 = 5^7.
    9·1 answer
  • Mrs. Wilson packed supply bags for her students to use in a science experiment. In each bag she put 3 rubber bands and 4 paper c
    9·1 answer
  • If x = -2, calculate the value of: xcubed + xsquared
    5·2 answers
  • Factor 20t–16.<br> Write your answer as a product with a whole number greater than 1.
    5·1 answer
  • Can somebody help me with this question, my brain has evaporated.
    6·1 answer
  • Find the sum or difference. -3(h-4) -2(-6h + 5)
    9·1 answer
  • Parallelograms don’t know how to solve and teacher won’t show me need help
    11·1 answer
  • PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER PLS GIVE ME A STEP BY STEP EXPLANATION!!
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!