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
Natali [406]
3 years ago
13

Classify each system of equations as having a single solution, no solution, or infinite solutions.

Mathematics
1 answer:
mina [271]3 years ago
8 0
To find what the answer is for this problem, we need to find out whether each of them have infinite, no, or single solutions. We can do this individually.

Starting with the first one, we need to convert both of the equations into slope-intercept form. y = -2x + 5 is already in that form, now we just need to do it to 4x + 2y = 10.

2y = -4x + 10
y = -2x +5

Since both equations give the same line, the first one has infinite solutions.

 Now onto the second one. Once again, the first step is to convert both of the equations into slope-intercept form. 

x = 26 - 3y becomes
3y = -x + 26
y = -1/3x + 26/3 

2x + 6y = 22 becomes
6y = -2x + 22
y = -1/3 x + 22/6

Since the slopes of these two lines are the same, that means that they are parallel, meaning that this one has no solutions. 

Now the third one. We do the same steps. 

5x + 4y = 6 becomes
4y = -5x + 6
y = -5/4x + 1.5
 
10x - 2y = 7 becomes
2y = 10x - 7
y = 5x - 3.5

Since these two equations are completely different, that means that this system has one solution.

Now the fourth one. We do the same steps again. 

x + 2y = 3 becomes
2y = -x + 3
y = -0.5x + 1.5

4x + 8y = 15 becomes
8y = -4x + 15
y = -1/2x + 15/8

Once again, since these two lines have the same slopes, that means that they are parallel, meaning that this one has no solutions. 

Now the fifth one. 

3x + 4y = 17 becomes
4y = -3x + 17
y = -3/4x + 17/4

-6x = 10y - 39 becomes
10y = -6x + 39
y = -3/5x + 3.9

Since these equations are completely different, there is a single solution. 

Last one!

x + 5y = 24 becomes
5y = -x + 24
y = -1/5x + 24/5

5x = 12 - y becomes
y = -5x +12

Since these equations are completely different, this system has a single solution. 
You might be interested in
Solve for x -3x+6=2x-24<br><br>-30<br><br>-6 <br><br>6<br><br>30
Svetach [21]

-3x + 6 = 2x - 24.

Add 3x to both sides.

6 = 5x - 24.

Add 24 to both sides.

30 = 5x.

Divide it all by 5.

<em><u>x = 6.</u></em>

8 0
3 years ago
What is 175 in expanded form
Maru [420]
So if you wanted the factored form (exg. 1*2*3*4=24)
then this is (5 times 5 times 7)

8 0
2 years ago
Read 2 more answers
A survey asked 200 students to name their favorite fruit. The table shows the results of the survey. How many more students chos
Vikentia [17]

Answer:

Without seeing the table I can't answer the question

Step-by-step explanation:

But if you take the number of Peaches and subtrqact the number of oranges will have your answer.

4 0
2 years ago
I need help with this calculators allowed tysm for your time
bagirrra123 [75]
Answer- 7.65 cm
explanation- the perimeter is just all the the sides lengths added together. since we know a square has four equal sides, we know that each side has to be the same length. so you divide 30.6 by 4 to get 7.65 cm.
4 0
3 years ago
What is the value of y?<br> Please enter your answer, as an exact value
Hatshy [7]
Tan (60) = y/ 5
y = tan(60) * 5
and you know tan(60) = √3
so 
y = 5√3

answer
5√3 (exact value)
4 0
3 years ago
Read 2 more answers
Other questions:
  • 1. You are conducting a survey of the people in the United States to find out how popular racket sports (tennis, badminton, racq
    7·2 answers
  • Find the point, M, that divides segment AB into a ratio of 4:7 if A is at (-33,0) and B is at (0, 44).
    14·1 answer
  • Find the equation that is perpendicular to 7y= -3x passing through (9,1).
    7·1 answer
  • Define mass to show it scientific meaning
    6·2 answers
  • 2ND TIME POSTING THIS PLS HELP ME WITH 3, 4, AND 5 BRAINLIEST PLUS YOU WILL GET 100 POINTS
    7·2 answers
  • The graph represents the distance in miles, y: that Car A travels in x minutes. The function y x represents the distance, y; tha
    14·1 answer
  • Find the sum. 2 3/<br>6 + 4 1/6​
    5·2 answers
  • Help me to the this question​
    7·1 answer
  • How to solve for m? <br> n= 4/5(m+7); m
    8·1 answer
  • Determine if (x+1) is a factor 4x^2 + 2x - 5Use synthetic division
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!