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
ExtremeBDS [4]
3 years ago
12

What is the solution to the system of equations?

Mathematics
1 answer:
yarga [219]3 years ago
8 0

Answer:

(2, - 4 )

Step-by-step explanation:

Given the 2 equations

x + 2y = - 6 → (1)

3x + y = 2 → (2)

Multiplying (2) by - 2 and adding to (1) will eliminate the term in y

- 6x - 2y = - 4 → (3)

Add (1) and (3) term by term to eliminate y

- 5x = - 10 ( divide both sides by - 5 )

x = 2

Substitute x = 2 into either of the 2 equations and solve for y

Substituting into (1)

2 + 2y = - 6 ( subtract 2 from both sides )

2y = - 8 ( divide both sides by 2 )

y = - 4

Solution is (2, - 4 )

You might be interested in
Angelo is making a rectangular floor for a clubhouse with an area of 84 square feet. The length if each side of the floor is a w
Alexxandr [17]

Answer:

L=1 ft and B=84 ft

L=2 ft and B=42 ft

L=4ft and B=21ft

L=6ft and B=14 ft

L=7ft and B=12ft

L=12 ft and B=7ft

L=14ft and B=6 ft

L=21 ft and B=4 ft

L=42 ft and B=2 ft

L=84 ft and B=1 ft

Step-by-step explanation:

We are given that

Area of rectangular floor=84 square feet

We have to find the possible length and width of for Angelo's clubhouse.

Area of rectangle=length\times breadth

Using the formula

Area of rectangular floor for clubhouse=84 square feet

Length(L)\times breadth(B)=84

Factor of 84 are

1,2,4,6,7,12,14,21,42,84

Therefore,  possible dimension of rectangular floor

1ft\times 84ft,2ft\times 42ft,4ft\times 21ft,6ft\times 14ft,7ft\times 12ft,12ft\times 7ft,14ft\times 6ft,21ft\times 4ft,42ft\times 2ft,84ft\times 1ft

L=1 ft and B=84 ft

L=2 ft and B=42 ft

L=4ft and B=21ft

L=6ft and B=14 ft

L=7ft and B=12ft

L=12 ft and B=7ft

L=14ft and B=6 ft

L=21 ft and B=4 ft

L=42 ft and B=2 ft

L=84 ft and B=1 ft

5 0
3 years ago
Please i need this due now and DO NOT GIVE ME A LINK FOR THE ANSWER
lana66690 [7]

Answer:

Y = -3(x - 5/6)^2 - 59/12 and  x = 5±i√59/6

Step-by-step explanation:

Pls give brainllest

8 0
2 years ago
A tower casts a 30-foot shadow. At the same time, a person who is 6 feet 6 inches tall casts a 4-foot shadow. How tall is the to
patriot [66]
5 feet 5 inches? I think
5 0
3 years ago
If you have an 81 for your 9 weeks grade but make a 70 on your exam whats going to be your final grade?
Ivan
To do this you need the mean.
(81*9+70)/10 that is the mean equation.
Solve.
(799)/10
79.9
79.9% Will be your grade or a C
4 0
3 years ago
It's due in 30 minutes!!
Sati [7]
1. 500000 cm
2. 16 pints
3. 480 mL
4. 2640 ft
8 0
2 years ago
Other questions:
  • Find f(3) if f(x) = -4x^2+5x
    7·2 answers
  • Ms. White has 15 students in her first grade class. Troy is the line leader for the week, and Mackenzie is last because she was
    6·2 answers
  • What is the answer to this question. Please help!
    6·1 answer
  • A truck can carry a maximum of 1350 ponds of weight .how many 250- pound of dirt can the truck hold
    6·1 answer
  • Please help me I will give you all my points
    15·2 answers
  • (b) 9 tickets
    15·1 answer
  • Thank you so much thank y’all
    11·1 answer
  • As she climbs a hill, a cyclist slows down from 25 km/hr to 3 km/hr in 10 seconds. What is her deceleration?
    15·1 answer
  • What is the classification of the triangle by its angles and by its sides?? <br> ANSWER ASAP!!! PLS
    15·1 answer
  • Help me, the question is in the picture<br><br> Thank you :)
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!