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
Elena L [17]
2 years ago
11

How many solutions does the system have?

Mathematics
1 answer:
bearhunter [10]2 years ago
6 0

Answer:

A. Exactly one solution

Step-by-step explanation:

Solve the system of equations.

y = x + 1

y = 2x - 5

Substitute one equation into the other.

y = 2x - 5

x + 1 = 2x - 5

Subtract 2x from both sides.

-x + 1 = -5

Subtract 1 from both sides.

-x = -6

Multiply both sides by -1.

x = 6

Put it back into the other equation.

y = x + 1

y = 6 + 1

Add.

y = 7

The solution is (6, 7). Since the equations aren't equal, there are not infinitely many solutions, but since there is a solution found, we can determine that there is exactly one solution.

You might be interested in
Given the equation Square root of 2x plus 1 = 3, solve for x and identify if it is an extraneous solution
maksim [4K]
To answer the question above, raise both sides of the equation to the power of two.
(sqrt (2x + 1))² = 3²
This will simplify into,
2x + 1 = 9
Solving for the value of x gives an answer of x = 4. This value is not an extraneous root as it satisfy the original equation even if it is inside the radical sign. (I hope this is right)
6 0
2 years ago
Read 2 more answers
What term does perpendicular lines use
Travka [436]

Answer:

Hello, In elementary geometry, the property of being perpendicular (perpendicularity) is the relationship between two lines which meet at a right angle (90 degrees). The property extends to other related geometric objects. A line is said to be perpendicular to another line if the two lines intersect at a right angle.

Hope this helped!!

6 0
2 years ago
2y=2x+6<br> Solve for y
4vir4ik [10]

Answer:

y=x+3

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
5/8 of the 64 musicians in a music contest are guitarists. Some of the guitarists play jazz solos, and the rest play classical s
motikmotik

The first thing we must do for this case is find the number of total guitarists.

We have then:

(\frac{5}{8}) * (64) = 40

We now look for the relationship between the number of guitarists playing jazz alone to the total number of guitarists.

We have then:

\frac{x}{40} = \frac{1}{4}

Where,

x: number of guitarists playing jazz alone

From here, we clear the value of x.

x = (\frac{1}{4}) * (40)\\x = 10

Then, the number of guitarists who play classical solo is:

40 - 10 = 30

Answer:

30 guitarists play classical solos in the contest

5 0
3 years ago
Read 2 more answers
Suppose you roll a die. What is the probability that you do not roll a 4?
7nadin3 [17]

Answer:

5/6

Step-by-step explanation:

There are six sides on a die, and they are asking the probability of not rolling a 4. So it would be 5 out of 6

Have a good day :)

6 0
2 years ago
Other questions:
  • Solve a=2pir^2 2pirh for pi
    12·1 answer
  • Ben is calculating his cell phone bill. Text Wireless charges $30.00 a month plus $0.02 for each minute
    6·1 answer
  • Round 132874015 to the nearest hundreds-thousands.
    7·2 answers
  • Question 5<br> » Solve for n.<br> 2/3(1+n)=-1/2n
    13·1 answer
  • Solve the equation 144x²-1=0
    8·1 answer
  • HELP PLEASE!!!!!!!!!!
    10·1 answer
  • If a star is 5,699,999,999,999,999 meters from earth, how long does it take light to travel from earth to the star?
    12·1 answer
  • Simon has 12/9 cups of muffin batter. His recipe calls for 1/3 cup of batter for each muffin. How many muffins can he make?​
    6·2 answers
  • What is the input for which g(x)=3<br> x=
    11·1 answer
  • A farmer's annual income is represented by the variable x. The farmer will pay 25% of his income for federal taxes and 9% of his
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!