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
andrezito [222]
2 years ago
6

Y = 2x + 4 6x – 3y = -12 System by substitution 10 points

Mathematics
2 answers:
____ [38]2 years ago
8 0

Answer:

Infinitely many solutions

Step-by-step explanation:

y=2x+4\\  [2]           6x-3y=-12  < ------------- Linear equations given

Equations Simplified or Rearranged :

y - 2x = 4  \\ [2]    -3y + 6x = -12

Solve by <u>Substitution</u> :

// Solve equation [1] for the variable y

[1]    y = 2x + 4

// Plug this in for variabley  in equation[2]

[2]    -3*(2x+4) + 6x = -12

[2]    0 = 0 =>  I<u><em>nfinitely many solutions </em></u>

Burka [1]2 years ago
5 0

Answer:

(-2, 0)

Step-by-step explanation:

y = 2x+4

6x - 3y = -12

Start by simplifying the second equation by dividing everything by 3 (this will make the math easier)...

2x - y = -4

Then, substitute 2x+4 for y into the second equation (this is because y = 2x+4)...

2x-3(2x+4)=-4

Distribute the -3

2x-3(2x)-3(4)=-4

2x-6x-12=-4

Combine like terms

-4x-12=-4

Add 12 to both sides

-4x-12+12=-4+12

-4x=8

Divide both sides by -4

x=-2

Plug -2 back in for x to solve for y:

y = 2(-2) + 4

y=-4+4

y=0

(x, y) = (-2, 0)

You might be interested in
Beyonce is solving a system of equations:
Sholpan [36]

Answer:

Beyonce will get the same result.

Step-by-step explanation:

The given system is

2x-3y=-2

and 4

x+y=24

This system contains two lines that are not parallel to each other therefore the solution x=5, y=4 is unique.

It doesn't matter which method he used or which variable he eliminated first.

The solution will still be the same.

If the system of two equations with has no solution, the Beyonce will not get a solution in the first place, but the fact that the system has no solution remains the same even if Beyonce uses a different method.

If there are infinite solutions, Beyonce might get different solutions using a different method, but the fact that the system has infinite solution remains the same.

4 0
3 years ago
In how many ways can 12 books be displayed on a shelf if the given number of books are available
Cerrena [4.2K]
The answer is not applicable. theres not enough information. -fvmousskaylaa
4 0
3 years ago
in parallelogram JKLM, the ratio of the measure of angle J to the measure of angle M is 5:4. Find the measurement of angle J and
Helga [31]
Since we know that these two are consecutive angles and consecutive angles add up to 180 deg, we can come up with the equation 4x +5x =180. Solving this out shows us that x = 20 and the measure of angle J is 100 deg while the measure of angle M is 80 deg. 
5 0
3 years ago
Russ and vickie are trying to solve this problem there are 146 student taking the buses to tje museum if each .bus hold 24 stude
Genrish500 [490]
146 divided by 24=6.083repeating since buses cant be split you would need to round up so about 7 buses would be needed
5 0
3 years ago
H + 86.43 = 531.79<br><br> h = ___________
dedylja [7]
H= 445.36
because you bring the 86.43 over to the 531.79. which would make 86.43 a negative number. so you subtract 531.79 by 86.43
6 0
2 years ago
Read 2 more answers
Other questions:
  • Which facts are true about f(x)=log8^x?
    12·1 answer
  • Find the equation of the line passing through the point (-4,6). And having a slop of 1/2
    8·1 answer
  • Which expression shows the result of applying the distributive property to 3(15x−17) ?
    9·2 answers
  • 6700 dollars is placed in an account with an annual interest rate of 8%. How much will be in the account after 24 years, to the
    10·2 answers
  • Solve 5x - (2x - 1) = 2, Answer is a decimal round to the hundredth (2 digits) or use / for fraction bar.
    6·1 answer
  • Homw many times can 36 go into 83
    14·2 answers
  • Which choice shows a function with a domain of {–4, –2, 2, 4}? On a coordinate plane, a vertical line is at x = 2. On a coordina
    7·1 answer
  • Consider triangle WXY. Triangle W X Y is shown. The length of side W X is 5, the length of side X Y is 10, and the length of sid
    11·2 answers
  • Anna is ordering t-shirts for a community run. The company Anna is ordering from charges $12 per shirt and a shipping fee of $8.
    8·1 answer
  • George monitors the number of influenza infections reported in a certain neighborhood in a given week. The recent numbers are sh
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!