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sladkih [1.3K]
2 years ago
5

1/?=8/34 plz help i need this answer ASAP!!!

Mathematics
1 answer:
ehidna [41]2 years ago
4 0

Answer:

1 / <u>4</u> = 8 / 34

1 * 32 = 8x

32 = 8x (divide both sides by 8)

4 = x

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What is the solution to the system of equations? 3x-6y=-12 " " x-2y=10 Use the substitution method to justify that the given sys
Thepotemich [5.8K]

The two lines in this system of equations are parallel

Step-by-step explanation:

Let us revise the relation between 2 lines

  • If the system of linear equations has one solution, then the two line are intersected
  • If the system of linear equations has no solution, then the two line are parallel
  • If the system of linear equations has many solutions, then the two line are coincide (over each other)

∵ The system of equation is

3x - 6y = -12 ⇒ (1)

x - 2y = 10 ⇒ (2)

To solve the system using the substitution method, find x in terms of y in equation (2)

∵ x - 2y = 10

- Add 2y to both sides

∴ x = 2y + 10 ⇒ (3)

Substitute x in equation (1) by equation (3)

∵ 3(2y + 10) - 6y = -12

- Simplify the left hand side

∴ 6y + 30 - 6y = -12

- Add like terms in the left hand side

∴ 30 = -12

∴ The left hand side ≠ the right hand side

∴ There is no solution for the system of equations

∴ The system of equations represents two parallel lines

The two lines in this system of equations are parallel

Learn more:

You can learn more about the equations of parallel lines in brainly.com/question/8628615

#LearnwithBrainly

6 0
3 years ago
1/2-(-1/3)<br><br> Does anyone know the answer to this question?
Alexxx [7]

Answer:

5/6

.......................

4 0
3 years ago
Read 2 more answers
Plssss help due today
asambeis [7]

160-80 = 80

80/2 = 40


angle BCD = 40 degrees


please mark brainliest

6 0
3 years ago
If the outliers are not included, what is the mean of the data set?
Aleksandr-060686 [28]
The mean of the data without the outliers will be B 65.
6 0
3 years ago
Answers fast please. 1.) y=x−63x+2y=8 Use the substitution method. A.) (4, −2) B.) (14, 8) C.) (0, −6) D.) (3, −3) 2.) What is t
GrogVix [38]

<u>QUESTION 1</u>

The given system of equation is

y=x-6...eqn1

and


3x+2y=8...eqn2


Let us substitute equation (1) into equation (2) to get,

3x+2(x-6)=8


We expand the bracket to get,

3x+2x-12=8


We simplify to get.

5x-12=8


We group like terms to get

5x=8+12

\Rightarrow 5x=20

\Rightarrow x=4


We now substitute x=4 in to equation (1) to obtain,


y=4-6=-2


The correct answer is option A.


<u>QUESTION 2</u>

The given system of equations is

y-x=9...eqn1


and

10+2x=-2y...eqn2

We make y the subject in equation (2) to get,

y=-x-5..eqn3


We put equation (3) into equation (1) to obtain,


-x-5-x=9


We group like terms to get,

-x-x=9+5


This implies that,

-2x=14


We divide through by -2 to get,

x=-7


Hence the x-coordinate is -7



<u>QUESTION 3</u>

The given system is

y=3x-1..eqn1


and


x-y=-9...eqn2

We make x the subject in equation (2) to get,

x=y-9...eqn3


We put equation (3) into equation (1) to obtain,


y=3(y-9)-1


We expand the bracket to get,


y=3y-27-1


Group like terms to get,


y-3y=-27-1


We simplify to get;

-2y=-28


This implies that,

y=14


Therefore the y-coordinate is 14.

4 0
3 years ago
Read 2 more answers
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