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
Chloe reads 7 pages of a mystery book in 9 minutes. What is her average reading rate in pages per
myrzilka [38]

Answer:

1.25

Step-by-step explanation:

you have to take the 9 pages and divide by 7 and then divide that by 60 and u get 1.25

4 0
1 year ago
Helpppp me please!! I dont understand.
Dafna1 [17]

Answer:

X = 11

X = 7

Step-by-step explanation:

Part 1:

The measure of an inscribed angle is half the measure of an intercepted arc. So 1/2 mCE = m∠CDE

158 ÷ 2 = 79

You need to find x so you're going to set your equation of (8x - 9) = 79

Then you're going to add 9 to both sides to get 8x = 88

Divide both sides by 8 to get x = 11

Part 2:

We know that WY is 180 because it's a semicircle. Using this and the knowledge that ∠WXY is half the measure of the intercepted arc (180), we know that our equation should be (13x - 1) = 90

add 1 to both sides and our equation is (13x = 91)

Divide both sides by 13 and...

x = 7

8 0
3 years ago
Read 2 more answers
What is the equation of the line shown in this graph? <br><br> The points are (-2, 2) and (-2, -3)
KengaRu [80]

\bf (\stackrel{x_1}{-2}~,~\stackrel{y_1}{2})\qquad (\stackrel{x_2}{-2}~,~\stackrel{y_2}{-3}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{-3-2}{-2-(-2)}\implies \cfrac{-3-2}{-2+2}\implies \stackrel{und efined}{\cfrac{-5}{0}}


so our slope is undefined, that means a vertical line, check the picture below

5 0
3 years ago
Find the width of a rectangular prism if the volume is 77,680 cm^3, the length is 43 cm, and the height is 94.4 cm.
Lapatulllka [165]
Set the formula. length x width x height = Volume and solve for whichever
6 0
3 years ago
twenty students went to a fast food restaurant everyone ordered a hamburger and a drink hamburgers cost 3.25 each and drinks cos
Natali5045456 [20]

Answer:

g fggggerbhyujgtvfrdc

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Other questions:
  • Kayden is going to invest in an account paying an interest rate of 4.2% compounded continuously. How much would Kayden need to i
    10·1 answer
  • Vera
    11·2 answers
  • Simplify (-6)÷3<br><img src="https://tex.z-dn.net/?f=%28%20-%206%29%20%5Cdiv%203" id="TexFormula1" title="( - 6) \div 3" alt="(
    9·1 answer
  • Please explain this problem. I don't know what its asking, or what to do.
    5·1 answer
  • I need to know the answer ?
    14·1 answer
  • What is 4/147?????????
    5·1 answer
  • What is the image of (0,2) after the reflection over the line y=x?
    9·2 answers
  • g Two different factories named A and B both produce an automobile part. If a part came from A, the probability that the part is
    10·1 answer
  • PLEASE HELP&gt; A spinner is divided into 6 equal sections. Each section is marked with one of the numbers 1 through 6. Miguel w
    8·1 answer
  • Michael has a points card for a movie theater.
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!