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
WARRIOR [948]
3 years ago
7

How many solutions does this system have?

Mathematics
2 answers:
barxatty [35]3 years ago
6 0

Answer:

The solution for the system is the pair (6,1).

Step-by-step explanation:

The system has two equations and two variables, therefore i has only one solution. To solve it we will multiply the second equation by "-2". So we have:

2x-4y = 8

x + y = 7 *(-2)

2x - 4y = 8

-2x -2y = -14

We now sum boh equations:

2x -2x -4y -2y = 8 -14

-6y = -6

y = -6/-6 = 1

2x - 4(1) = 8

2x - 4 = 8

2x = 8 + 4

2x = 12

x = 12/2 = 6

The solution is the pair (6,1).

Juli2301 [7.4K]3 years ago
4 0

Answer:

The system has 2 solution .

Step-by-step explanation:

The equation is a simultaneous equation

2x - 4y=8 ............(i)

x + y=7................(ii)

make x the subject of the formula in equation (ii)

x = 7 - y

Substitute the value of x in equation(i)

2(7 - y) - 4y = 8

14 - 2y - 4y = 8

14 - 6y = 8

-6y =  8 - 14

-6y = -6

divide both sides by -6

y = 1

insert the value of  in equation (ii)

x + y = 7

x + 1 = 7

x = 7 - 1

x = 6

The system has 2 solution .

You might be interested in
Dani’s estimate for the cost of tiling her bathroom is $50 plus $3 per square foot. She says that she can model the cost with a
jarptica [38.1K]
She is correct.

She starts with 50
Each square foot adds 3 dollars...
so Square feet can be represented by x, and cost will be y... giving this linear function:

y=3x+50.
4 0
3 years ago
Round 34.1834 to the nearest one
bagirrra123 [75]
The answer is
nearest one: 3
5 0
3 years ago
Read 2 more answers
You get paid $10 an hour. In order to make $210, you need to work 21 hours. If you work the same amount of hours for four days a
Citrus2011 [14]
If you want to make it so that you work most of the hours on the first 4 days,  you should work 5 hours.  5*4=20,  so 1 hour would be left over on the 5th day.  
6 0
3 years ago
Is 6/7 rational or irrational?
Shtirlitz [24]

Answer:

6/7 is a rational number.

6 0
2 years ago
Read 2 more answers
FOR 80 POINTS!!!!!!!!! HELP WITH MATH QUESTION PLS, THERE IS PICTURE!!!!!!!!!!
Nimfa-mama [501]

Answer:

x=1/9

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Other questions:
  • Which equation can be used to find the measurement of ∠C? To the nearest degree, what is the measurement of ∠A? A) 5sin∠C = 2; 2
    11·2 answers
  • How do you remember how to find the side of a triangle and the inide using SOH CAH TOA
    8·2 answers
  • The vertex of this parabola Is at (-3,6) which of the following could be its equation
    13·2 answers
  • A zombie apocalypse begins when 4 zombies break free from a secret government lab. Each zombie can infect (and thus zombify) 2 p
    14·2 answers
  • A store is having a sale 30%,off the original price a shoe costs 82 how much will it cost​
    14·1 answer
  • The original amount owed on a loan is known as
    6·1 answer
  • What is the number of terms in this geometric series?<br> 1+2+4...+128
    12·1 answer
  • Use the diagrams below to find the lengths of the missing sides. Figures in each diagram are similar.
    6·2 answers
  • How do you write 750% as a fraction or mixed number
    7·1 answer
  • Compare the theoretical probability to the experimental probability of landing on H.
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!