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
kherson [118]
3 years ago
5

Systems of equations, help please?

Mathematics
1 answer:
lord [1]3 years ago
3 0
4x + 3y = 54 (1)
3x + 9y = 108 (2)

Multiply (1) by (-3)
-12x - 9y = -162 
3x + 9y = 108
---------------------add
-9x  =  -54
   x = 6

plug x = 6 into (1) to find y
4(6) + 3y = 54
24 + 3y = 54
3y = 30
  y = 10

Answer
(6 , 10)

Hope it helps.
You might be interested in
What is -x+y=6 in funtion form
lisov135 [29]
To get the function form, the y must be the only variable on one side. So, we need to solve for it.

We have:

-x + y = 6

then we get

y = 6 + x

when we move the x to the other side to get y by itself.

If you have any questions then leave a comment. Good luck!

5 0
3 years ago
Circle Q is centered at the origin with radius r. Point P(x, y) lies on circle Q. Make a conjecture. How can you find an equatio
salantis [7]

Answer:

The relation x^{2} +y^{2} =r^{2} is explained below.

Step-by-step explanation:

P(x, y) is a point on the circle. Q is the origin. Join PQ.

PQ is the radius.

Therefore, PQ = r

Draw PS perpendicular to the x-axis.

Now, ΔPQS is a right triangle.

By Pythagoros theorem,

PQ^{2}=PS^{2} +QS^{2}

r^{2}=x^{2} +y^{2}

x^{2} +y^{2} =r^{2}

5 0
4 years ago
Read 2 more answers
The shaded triangle is set inside a pentagon. What type of triangle is the shaded triangle?
SpyIntel [72]
That is a right angled triangle
5 0
3 years ago
Read 2 more answers
A woman wishes to rent a house within 9 miles of her work. If she lives x miles from her work, her transportation cost will be c
I am Lyosha [343]

Answer:

the woman has to live 1 mile from work to minimize the expenses

Step-by-step explanation:

Given the data in the question;

the distance within 9 miles ⇒ 0 < x > 9

Total costs Q = cx + 4c/( x + 1)

costs should be minimum  ⇒ dQ/dx = 0

⇒ d/dx [ cx + 4c/( x + 1) ] = 0

⇒ ( x + 1)² = 4

take square root of both side

√[ ( x + 1)² ] = √4

x + 1 = 2

x = 2 - 1

x = 1

Therefore, the woman has to live 1 mile from work to minimize the expenses

5 0
3 years ago
Why is coal a non-renewable energy source​
Ratling [72]
1. It is extracted from the ground.
2. It took years to form.
5 0
3 years ago
Other questions:
  • WEIRD GRAPH THING COORDINATES SIXTH GRADE
    9·1 answer
  • The weight of an African elephant is 6x10^6 grams; the weight of a tiger is 3x10^5 grams. How many times heavier is the elephant
    15·2 answers
  • X plus the letter y equals the number 8
    9·2 answers
  • Kara Danvers (Supergirl) has always relied on her strength to win fights. But what happens when she meets an alien just as stron
    8·1 answer
  • The seagulls played the patrons in the championship football game. The following table shows the number of seagulls fans and pat
    9·1 answer
  • ChitChat Wireless charges $0.30 per minute plus a monthly base fee. In September, Maggie used 120 minutes and her bill was $51.
    9·1 answer
  • on a coordinate plane, the vertices of a rectangle are (-1, 1), (3, 1), (-1, -4), and (3, -4). what is the perimeter of the rect
    13·2 answers
  • Two students can eat
    13·1 answer
  • 1. Solve for x = 9/36 x/48<br> 12<br> 192<br> 28<br> 6.8
    11·1 answer
  • Bronson earns $625 per week at his job. How much does he earn annually?<br> please help
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!