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iragen [17]
3 years ago
15

X - 2y = 83x = 19 + 4yhow to answer this through elimination or substitution method?​

Mathematics
1 answer:
adell [148]3 years ago
4 0

Answer:

The solution of the given equations

x = 3 and y =-2.5

Step-by-step explanation:

<u><em>Step(i):-</em></u>

  x - 2y = 8 ..(i)

3x = 19 +4y ..(ii)

By using substitution method

substituting  x = 2y +8 in equation (ii)

 ⇒  3( 2y +8) = 19 +4y

⇒   6y +24 = 19 +4y

⇒  6 y - 4y = 19 - 24

⇒   2 y = -5

   y = \frac{-5}{2} = -2.5

<u><em>Step(ii):-</em></u>

Substitute 'y' = -2.5 in equation (i) , we get

         x - 2y = 8

   ⇒  x - 2( \frac{-5}{2}) =8

  ⇒  x = 8 -5

      x = 3        

<u><em>Final answer:-</em></u>

The solution of the given equations

x = 3 and y =-2.5

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Alex777 [14]

Hey there!

Answer:

CD = 3.

Step-by-step explanation:

Since the triangles are similar, we can set up a ratio to determine the other side-lengths:

\frac{12-x}{18} =\frac{x}{6}

Cross multiply:

6(12-x) = 18x

Distribute the '6':

72-6x = 18x

Combine like terms and simplify:

72 = 24x

x = 3

Therefore, the length of CD is 3.

5 0
3 years ago
A college student completed some courses worth 3 credits and some
-BARSIC- [3]

Answer:

  • A. 13

Step-by-step explanation:

<u><em>Note:</em></u><em> It seems typo in the question. 5% should read 59.</em>

Let 3 credit courses = x, 4 credit courses = y

<u>As per  given we have following equations:</u>

  • x + y = 18
  • 3x + 4y = 59

<u>Solve the system by elimination. Multiply the first equation by 4 and subtract the second one:</u>

  • 4(x + y) - (3x + 4y) = 4(18) - 59
  • 4x + 4y - 3x - 4y = 72 - 59
  • x = 13

The answer is 13

Correct choice is A

4 0
3 years ago
Read 2 more answers
a leaky faucet is losing water and it is filling a 5 gallon bucket every 12 hours. At the rate, how many gallons of water will t
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Answer:

20 gallons

Step-by-step explanation:

First start off by dividing 48 by 12 to see how many times 12 goes into 48.

48 / 12 = 4

now that you know that 12 goes into 48 4 times, multiply 4 by 5 to see how many gallons the leaky faucet will fill in 48 hours.

4 x 5 = 20

therefore the answer is 20 gallons

I hope this helps ^^

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Consider the equation x+4=−2x+19. Let f(x)=x+4and g(x)=−2x+19. The graph of each function is shown. Coordinate plane with the gr
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The point of intersection of both graphs will have the coordinate (5, 9).

<h3>What is the Point of Intersection of the Graph?</h3>

We are given the functions;

f(x) = x + 4

g(x) = -2x + 19

Now, the point of intersection of both graphs is when both functions are equal which is at f(x) = g(x). Thus;

x + 4 = -2x + 19

x + 2x = 19 - 4

3x = 15

x = 15/3

x = 5

Thus;

f(x) = 5 + 4 = 9

g(x) = -2(5) + 19 = 9

Thus, the point of intersection of both graphs will have the coordinate (5, 9)

Read more about Graph Intersection at; brainly.com/question/11337174

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4 0
2 years ago
Tanner walks 42 kilometers each morning. How many meters does he walk each morning?
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Answer:

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