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
Dovator [93]
3 years ago
7

Can someone explain this to me

Mathematics
1 answer:
inysia [295]3 years ago
7 0

Let me start from taking equation in two dimensional plane

A x + B y= C

P x +Q y  = R

<u>For one Solution   </u>

⇒The two lines are intersecting at a single point.

\frac{A}{P} \neq \frac {B}{Q}\neq \frac{C}{R}

For example, x + y =4 and x - y=2

<u>For infinite solution</u>

⇒The two lines are Coincident.i.e one lies above the other.

For that,

\frac{A}{P} = \frac{B}{Q}=\frac{C}{R}

For example, x + y =3,and 3 x + 3 y =9

<u>For No solution</u>

It means the two lines are parallel i.e they will never intersect.

\frac{A}{P}=\frac{B}{Q}\neq\frac{C}{R}

For example, x + y = 11 and 7 x + 7 y = 11

Now consider equation in three dimensional system

Ax +By+Cz=P

Lx +My+Nz=Q

Tx +Uy+Vz=R

You can solve this system of equation by cramers rule or by any other method.

For example taking Cramers rule into consideration

x =\frac{D_{1}}{D}, y=\frac{D_{2}}{D},  z=\frac{D_{3}}{D}

For unique Solution or one solution

D ≠ 0

These three lines will intersect at a single point in a three dimensional plane.

x,y,z should have real number as a solution.for example, x=5,y=3,z=4 can be the solution of system of linear equation in three variable satisfying all the equation.

x+y+z=12

2x +y+z =17

x+2y +3z=23

For infinite Solution

These three lines will be Coincident, i.e lies above one another.

I.e,

D=D_{1}=D_{2} =D_{3}=0

for example

x +y+z =6

2x +2y +2z=12

3x+ 3y+3z=18 has infinitely many solution.

For no solution

if D=0 and either of D_{1}, or D_{2} orD_{3} is non zero ,it has no solution.

The three lines will be parallel to each other.

For example

x + y+z=3

2x +2y+2z =5

4x + 4y + 4z =17

It has no solution.






You might be interested in
Searches related to Anita needs 5 pounds of bananas to make banana bread for a bake sale. Each pond of bananas cost 0.50. How ca
m_a_m_a [10]

Answer:

$2.5

Step-by-step explanation:

Number of pounds of banana needed = 5 pounds

Cost per pound of banana = 0.50

To solve using place value blocks :

Ignoring the decimal in the cost per pound:

We can first take the product of 5 (Number of pounds of banana) and take cost per pound as 5. Since it is easier to make direct multiplication without decimal.

5 * 5 = $25

Now we can add the one decimal point (in the cost per pound) to our result

Then we have $2.5

Hence, total cost = $2.5

4 0
3 years ago
28/32 that equals 7/8
OLEGan [10]

Divide it by 4/4. You should get 7/8. 7/8 is the same as 28/32. 28/4=7, 32/4=8. Therefore, you can divide it by 4/4.

8 0
3 years ago
HELP ME DEAR GOD-
romanna [79]

Answer:

The probability you will get a head at least once is 50%.

Step-by-step explanation:

Since the question is asking about the probability you will get, we can assume we’re answering based on theoretical probability. This type of probability is based on logic.

A coin always has two sides, one with head and the other with tails. So we can easily represent this as half and half. 1/2 as a fraction. 0.5 as a decimal. 50% as a percent. This means that P(H) will be equal to any one of these as they are all the same. The same can be said for the probability that a head does not appear, in other words, a tail appears. The reason being that the probability is split evenly between the two. This will again mean that P(T) will equal to any one of those.

So, A = 50% and B = 50%. The probability you will get a head at least once is 50%.

7 0
3 years ago
Tomas wrote the equation y = 3x +y equals 3 x plus StartFraction 3 over 4 EndFraction.. When Sandra wrote her equation, they dis
BaLLatris [955]

Answer:

-6x+2y=\frac{3}{2}

Step-by-step explanation:

The equation Thomas wrote is:

y=3x+\frac{3}{4} ...equation 1

Let us subtract 3x from both sides to get:

-3x+y=\frac{3}{4}

We now multiply through by 2 to get:

-6x+2y=\frac{3}{2} ....equation 2

We can see that equation one and two are equivalent and hence have the same solution.

Therefore Sandra's equation is -6x+2y=\frac{3}{2}

6 0
3 years ago
Read 2 more answers
Find the slope of the line that passes through (-37, 47) and (26, 32).
stiks02 [169]
(x1,y1) = (-37,47)
(x2,y2) = (26,32)

Now, m = (47-32) / (26+37)
m = 15 / 63
m = 5/21
So, the slope would be 5/21

Hope this helps!
4 0
3 years ago
Other questions:
  • Simplify: −3xy2(2x2y3 + 7xy2 − 5x3y2)
    8·1 answer
  • Let A be a subset of {1, 2, . . . , 25} with |A| = 9. For any subset B of A, denote by SB, the sum of the elements in B. Prove t
    9·1 answer
  • A zip line starts 35 feet above the ground and has one landing platform. The line is secured into the ground
    5·2 answers
  • The length of a rectangle is 3 1/6 cm longer than the width. The perimeter of the rectangle is 15 1/3 cm. What are the width and
    5·1 answer
  • 1. Solve the following equation by factoring: 4x2 + 12x + 9 = 0
    12·1 answer
  • Mariah spent $9.50 on 9 pounds of limes and pears. Limes cost $0.50 per pound and pears cost $1.50 per pound. Let l be the numbe
    6·1 answer
  • Which of the following is a binomial​
    15·1 answer
  • (3 x (6 + 4) - 22] x 2 = ?
    12·1 answer
  • What is the probability of rolling a pair of dice and getting a sum that is not 8?
    6·1 answer
  • PlES heLP mEh &gt;:D FS:D&gt;FSD:F&gt; SD:F
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!