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
Vlad [161]
3 years ago
7

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

tem of equations has no solution. What do you know about the two lines in this system of equations?
Mathematics
1 answer:
Thepotemich [5.8K]3 years ago
6 0

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

You might be interested in
40 points Please help, answer and explain, please. Thank you!
zaharov [31]

Answer:

<h2>C. 6x² + 6x² + 3x + 4</h2>

Step-by-step explanation:

6x^2-2x^4+4+3x\\\\\text{Look at the power of variables.}\\\text{Arrange the terms in order from the largest exponent to the smallest.}\\\\-2x^4+6x^2+3x+4

6 0
3 years ago
Find an equation of variation in which y varies inversely as x and y=5 and x=21. Then find the value of y when x=10.
finlep [7]

Answer:

see explanation

Step-by-step explanation:

Given that y varies inversely as x then the equation relating them is

y = \frac{k}{x} ← k is the constant of variation

To find k use the condition y = 5 , x = 21

k = yx = 5 × 21 = 105

y = \frac{105}{x} ← equation of variation

When x = 10, then

y = \frac{105}{10} = 10.5

7 0
2 years ago
Who ever answers this first will get a brainlest
Mrac [35]

Answer:

Well assuming you don’t need to simplify

44/100

0.44

44%

Step-by-step explanation:

Okay so fraction is easy, theres a 100 cubes in total, 44 are shaded in, 44/100 are shaded in which is the area in this scenario.

Decimal is basically moving the place area by a specific amount, in this case theres no whole number since the whole number is 1 or 100/100 and its 44/100 right now so it can’t be a whole number. Decimals go by tenths, hundreths, thousandths, etc. so in this case 44/100 is n the hundreth place since its over a hundred so its 0.44. Or you can move it twice to the right by the times of 0 that appears.

Percent basically means out of 100. So in this case its 44 out of a hundred or 44%

7 0
3 years ago
Read 2 more answers
the tennis team wants to purchase tshirts for its members . company A charges a$20 setup fee and $8 per shirt company B charges
MA_775_DIABLO [31]

Answer:

1) 5 2) the first one

Step-by-step explanation:

1)

since the first time multiplying 8 to get a two digit number ending in zero is forty, i multiplied both by 5

2) 8 times 12= 96+20=116

   10 times 12=120 (already too much)+10=130

i hope this helps u

pls give a brainliest (i only need one more!) and a thx

6 0
3 years ago
Qual é o coeficiente linear da funçao f(x) =2x - 1?
raketka [301]

Resposta: f ^ (- 1) (x) = (1/2) x-1/2

7 0
3 years ago
Other questions:
  • A spectator in the stands spots the team mascot on the field at an angle of depression of 46 degree. If the spectator is sitting
    8·1 answer
  • Will give the brainliest answer,
    5·2 answers
  • Can u help me find the answer please
    12·1 answer
  • If a pair of two idenrcal dice are rolled n successive rmes, how many sequences of outcomes contain all six doubles (i.e., two 1
    10·1 answer
  • How do you know that 5.5 is to the right of 5 1/4 on the number line
    7·2 answers
  • Question 2 (1 point)
    7·1 answer
  • Help plssss I’m trying to finish this diagnostics test
    13·1 answer
  • Help please
    9·1 answer
  • The graph shows the relationship between the distance that a snail crawls and the time that it crawls.
    9·1 answer
  • (3,-8), (-9,9)<br> What is the slope
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!