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
12+[ 9 4/5 - ( 1.5 + 2 2/10)]<br><br><br><br>Someone please help me?​
lord [1]

Answer:

18.1

<em>The thing You NEEDED to do</em>

<h3><u>Simplify</u> or <u>Evaluate</u> Your Answer</h3>
5 0
3 years ago
2 1/2 + 3<br> As a fraction or a mixed number in simplest form. please Thankss ;p
puteri [66]
5 1/2 i think is the answer
5 0
3 years ago
Read 2 more answers
Can two box plots have the same range and iqr
Salsk061 [2.6K]
Yes they can!  Just because two plots have the same IQR and range, does not mean that the rest of the data has to be the exact same.  For example, the median. 
6 0
3 years ago
Segments 2) Use the following picture
alisha [4.7K]
The answer is AB= 52, because x=15
5 0
3 years ago
Need help ASAP <br>Which number line correctly shows -3 - -1.5?​
Alexandra [31]

Answer:

The top one I'm pretty sure.

3 0
3 years ago
Other questions:
  • Please help! : What is the actual length of a window that is 1 1/4 inches long on a drawing with a scale of 1 inch= 6 feet? This
    13·1 answer
  • Which of the following is the final step in bisecting a line segment?
    5·1 answer
  • How does a airplane fly?
    7·1 answer
  • Mercury poisoning is dangerous overload of mercury within the body. A major source of mercury within the body, A major source of
    15·1 answer
  • √70 is between which two numbers on the number line?
    14·1 answer
  • Translate the following into an algebraic expression: If it would take Mark m hours to clean the house alone and with his brothe
    10·1 answer
  • True or false of the matrix question?
    7·2 answers
  • Sales Tax<br> Selling Price Rate of Sales Tax Sales Tax<br> $40.00<br> 6%<br> ?
    12·2 answers
  • Name the transformation in the picture 1​
    15·2 answers
  • -5-4-3
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!