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
kvasek [131]
3 years ago
11

The solution to the following system of linear equations lies in which quadrant? −2x + 3y = 8 4x + y = −2

Mathematics
1 answer:
sashaice [31]3 years ago
4 0
First, let's find the solution.

-2x + 3y = 8
Add 2x to both sides.
3y = 2x + 8
Divide both sides by 3.
y = 2/3x + 8/3

4x + 2/3x + 8/3 = -2
14/3x + 8/3 = -2
Subtract 8/3 from both sides.
14/3x = -14/3
Multiply both sides by 3/14.
x = -1

y = 2/3(-1) + 8/3
y = -2/3 + 8/3
y = 6/3, or 2.

The solution is (-1, 2) which lies in Quadrant II, because its outline is (-, +).
You might be interested in
Karen drives straight south on Interstate 405 from the Santa Monica Freeway interchange going 10 miles per hour faster than Meli
natima [27]

Karen is moving at 81.2 miles per hour while Melinda is moving at 71.2 miles per hour.

<h3>Equation for speed</h3>

Speed is the ratio of total distance travelled to total time taken. It is given by:

Speed = distance / time

Let a represent Karen speed and b represent Melinda speed, hence:

a = b + 10

a - b = 10   (1)

Also:

a = d₁ / 1

d₁ = a

b = d₂/ 1 hour

d₂ = b

Since they are 108 miles apart, using Pythagoras:

108² = d₁² + d₂²

a² + b² = 11664

(b + 10)² + b² = 11664

b = 71.2 mph, a = 81.2 mph

Karen is moving at 81.2 miles per hour while Melinda is moving at 71.2 miles per hour.

Find out more on speed at: brainly.com/question/4931057

5 0
2 years ago
What is the volume of the figure below in cubic meters<br><br> 756<br> 936<br> 1008<br> 1080
Papessa [141]
1080 is correct hope this helps.
3 0
3 years ago
If p=8×10^5, 5×10^−2. Find p×q​
finlep [7]
Where is q? What should i do?
4 0
2 years ago
7th grade homework!<br> Probability quick Check<br> Please answer as many as you can/ want to
algol [13]
Number 9 is 36 because there are 18/40 who feel safe, so it multiplied would be 36. C
7 0
3 years ago
Read 2 more answers
Which of the following is a ballistic stretching exercise?
Vladimir [108]

Answer:

B. Arm circles

Hope you have a great day :)

7 0
2 years ago
Read 2 more answers
Other questions:
  • Given h(x) = 5 - 9x, find h(8).<br> ANSWER!!!
    6·1 answer
  • The equations were multiplied by constants and added together to determine that the value of x in the system of equations is –20
    9·1 answer
  • Please please <br> I need help ((((riiiight now)))<br> What's the right answer and explain why!!!!!
    13·2 answers
  • Does anyone know how to do expressions and equasions
    12·1 answer
  • A DVD has a diameter of 34 centimeters. What is the area of the DVD? Round your answer to the nearest
    6·2 answers
  • See geometry question above.
    9·1 answer
  • This year, Faaria's car is worth 22,000. If the value of Faaria's car decreases by 8%, what will her car be worth next year?
    13·1 answer
  • 7.4x-y=-252,12.1x-y=-231
    7·1 answer
  • Simplify: <br>{(12)^1 + (13)^-1}/[(1/5)^-2 × {(1/5)^-1 + (1/8)^-1}^-1]​
    9·2 answers
  • What are the square number factors of 56?​
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!