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
velikii [3]
2 years ago
7

Determine if the solution set for the system of equations shown is the empty set, contains one point or is infinite.

Mathematics
1 answer:
PolarNik [594]2 years ago
8 0

Answer:

  one point

Step-by-step explanation:

A system of two linear equations will have one point in the solution set if the slopes of the lines are different.

__

When the equations are written in the same form, the ratio of x-coefficient to y-coefficient is related to the slope. It will be different if there is one solution.

  • ratio for first equation: 1/1 = 1
  • ratio for second equation: 1/-1 = -1

These lines have <em>different slopes</em>, so there is one solution to the system of equations.

_____

<em>Additional comment</em>

When the equations are in slope-intercept form with the y-coefficient equal to 1, the x-coefficient is the slope.

  y = mx +b . . . . . slope = m

When the equations are in standard form (as in this problem), the ratio of x- to y-coefficient is the opposite of the slope.

  ax +by = c . . . . . slope = -a/b

As long as the equations are in the same form, the slopes can be compared by comparing the ratios of coefficients.

__

If the slopes are the same, the lines may be either parallel (empty solution set) or coincident (infinite solution set). When the equations are in the same form with reduced coefficients, the lines will be coincident if they are the same equation.

You might be interested in
What’s The greatest common factor for 28 42 and 56
Aliun [14]

Answer:

The answer is 14

Step-by-step explanation:

14x2=28

14x3=42 so the greatest common factor is 14

7 0
3 years ago
How do I solve 5 + 6y = 9y + 2 + 3(1 - y)
Stella [2.4K]
Actually you can't solve this. There is no solutions.
3 0
3 years ago
Read 2 more answers
How would you write 222 as a Roman numeral?
Nana76 [90]

Answer:

CCXXII

Step-by-step explanation:

This is just random words. the answer is this.

5 0
2 years ago
Read 2 more answers
Can someone please help for brainlest
Klio2033 [76]

Answer:125√3:6

Step-by-step explanation:

5 0
3 years ago
Divide -2x^3-4x^2+3x+2 by x-3
dimaraw [331]
Use the factor method and step by step

7 0
3 years ago
Read 2 more answers
Other questions:
  • Write each phrase as an algebraic expression
    7·1 answer
  • Patterns and functions​
    13·1 answer
  • How many times can 4 go into 110
    10·1 answer
  • Explain two ways you could solve 24=6(-3+x)
    14·2 answers
  • Plss help it’s a test I’ll give 10 points
    12·2 answers
  • What is the length of this pool?<br> 6 ft<br> X<br> 97<br> 5 ft
    5·1 answer
  • I think I have the answer but, I really need help with the steps!
    9·1 answer
  • What is w multiplied by 2​
    13·1 answer
  • Please help i need to turn it in
    8·2 answers
  • A baker decorates 42cupcakes in 30 minutes. She decorates cupcakes at a constant rate.
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!