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
artcher [175]
2 years ago
8

Help ! solve the following system of equations -9x+2y=-13 2x-9y=20

Mathematics
1 answer:
Stella [2.4K]2 years ago
5 0

Answer: x = 1, y = -2

Step-by-step explanation:

-9x+2y=-13

x= 13/9 + 2/9y

2x-9y=20

2(13/9+2/9y)-9y=20

<em>Substitute y with -2.</em>

<em />

x= 13/9+2/9(-2)

<em>After solving you'll see that 1 is a possible solution for x.</em>

<em />

Check your answer

-9x+2y=-13

-9x1+2(-2) = -13

2x-9y=20

2x1-9(-2) = 20

-13 = -13

20 = 20

Therefore, x=1 and y=-2

You might be interested in
Please answer the 2 questions if you can? (This is my math from 8th grade)
LUCKY_DIMON [66]

Answer:

Hi myself Shrushtee.

Step-by-step explanation:

8) a) x = 8.

10) c) x = 3

please mark me as brainleist

4 0
2 years ago
A scuba diver descends in the water at a rate of 23 1/2
Makovka662 [10]

The scuba diver's position relative to sea level after the 4.6 minutes is 5.1 ft.

Given:

A scuba diver descends in the water at a rate of 23 1/2  feet per minute for 2.6 minutes.

A scuba diver ascends at a rate of 28 feet per minute for 2 minutes after seeing a big fish.

To find :

The scuba diver's position relative to sea level after the 4.6 minutes.

Solution:

Rate of a scuba diver descending in the water for 2.6 minutes = R _1

R_1= 23\frac{1}{2}ft/min=\frac{47}{2} ft/min

Distance covered by a scuba diver in 2.6 minutes = d_1

d_1=R_1\times 2.6min=\frac{47}{2} ft/min\times 2.6 min=61.1 ft

Rate of a scuba diver ascending for 2 minutes = R _2

R_2= 28ft/min

Distance covered by a scuba diver in 2 minutes = d_2

d_2=R_2\times 2min=28 ft/min\times 2 =56 ft

The position of scuba diver after 4.6 minutes relative to sea level:

d_1-d_2=61.1 ft-56 ft=5.1ft

The scuba diver's position relative to sea level after the 4.6 minutes is 5.1ft.

Learn more about ascending rate and descending rate here:

brainly.com/question/1477877?referrer=searchResults

brainly.com/question/1072871?referrer=searchResults

3 0
2 years ago
I need help asap please
rjkz [21]

Answer:

x = -\frac{3}{2} or x = 1

Step-by-step explanation:

Using the zero product property, first step is to set the given equation, 2x^2 + x - 1 = 2 , to zero. Then factorise the left side.

Thus,

2x^2 + x - 1 = 2

Subtract 2 from both sides

2x^2 + x - 1 - 2 = 2 - 2

2x^2 + x - 3 = 0

Factorise the left side

2x^2 + 3x - 2x - 3 = 0

x(2x + 3) - 1(2x + 3) = 0

(x - 1)(2x + 3) = 0

Find the solution

x - 1 = 0

Or

2x + 3 = 0

x = 1

Or

2x + 3 = 0

2x = -3

x = -\frac{3}{2}

The answer is: x = 1 or x = -\frac{3}{2}

3 0
3 years ago
What is the are of a hexagon with a radius of 5 inches?
xxTIMURxx [149]
The area of a hexagon with a radius of 5 inches is 86.603. 
6 0
3 years ago
Half a pepperoni pizza plus three fourths of a ham and pineapple pizza contains 765 calories 1/4 of a pepperoni pizza plus a who
yulyashka [42]

Answer:

Correct choice is D (In a whole pepperoni pizza are 660 calories, in  in a whole ham and pineapple pizza are 580 calories).

Step-by-step explanation:

Let x calories be the number of calories a whole pepperoni pizza contains and y calories be the number of calories a whole ham and pineapple pizza contains.

1. If half a pepperoni pizza plus three fourths of a ham and pineapple pizza contains 765 calories, then

\dfrac{1}{2}x+\dfrac{3}{4}y=765.

2. If 1/4 of a pepperoni pizza plus a whole ham and pineapple pizza contains 745 calories. then

\dfrac{1}{4}x+y=745.

3. Multiply each equation by 4 and get a system of two equations:

\left\{\begin{array}{l}2x+3y=3060\\x+4y=2980\end{array}\right.

From the second equation x=2980-4y, then

2(2980-4y)+3y=3060,\\ \\5960-8y+3y=3060,\\ \\-8y+3y=3060-5960,\\ \\-5y=-2900,\\ \\y=580.

Then

x=2980-4\cdot 580=2980-2320=660.

6 0
3 years ago
Other questions:
  • Answer Choices: a) slope=-3 b)slope=-1/3 c)1/3
    8·1 answer
  • Help help help help help help help due tmr
    13·2 answers
  • What is the approximate area of the shaded region?
    13·2 answers
  • Simplify y*7*x<br> *=multiply<br> PLEASE ANSWER 20 POINTS
    12·1 answer
  • A multiple choice test has 9 questions each of which has 5 possible answers
    6·1 answer
  • F+40/−3≥−16 <br><br><br>f = 2<br>f = 5 <br>f = 8<br>f=11
    5·1 answer
  • . A un concierto asistieron 10000 personas , lo que representó un total de
    5·1 answer
  • Given the diagram below, if P is the incenter of AJRL,
    6·1 answer
  • Please can somebody help me
    15·1 answer
  • PLSS NOBODY WILL HELP ME LATLY PLSS JUST HELP!
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!