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dimaraw [331]
1 year ago
6

Solve this system of equations by using the elimination method.

Mathematics
1 answer:
Sidana [21]1 year ago
8 0

Using the elimination method, the solution to the system of equations is: (2, 2).

<h3>How to Solve a System of Equations by Elimination?</h3>

Given the system of equations,

3x + 6y = 18 ----> equation 1

-3x + 4y = 2 ----> equation 2

Add both equations to eliminate variable x

10y = 20

Divide both sides by 10

10y/10 = 20/10

y = 2

Substitute y = 2 into equation 1 to find x

3x + 6(2) = 18

3x + 12 = 18

3x + 12 - 12 = 18 - 12

3x = 6

Divide both sides by 3

3x/3 = 6/3

x = 2

Therefore, using the elimination method, the solution to the system of equations is: (2, 2).

Learn more about system of equations on:

brainly.com/question/14323743

#SPJ1

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To eliminate the y-terms and solve for x in the fewest steps, by which constants should the equations be multiplied by before ad
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Answer:

use -9 to multiply the first equation

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substitute (x=4) in any of the equation. I'm just going to use eqn 1.

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To make the chocolate shake, Dona added 40 mL of chocolate syrup,
Vsevolod [243]

Answer:

0.225 L of milk, would be required if she uses 450 m L of water.

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Here, to make the shake, ingredients used by Dina are:

40 m L of chocolate syrup,

200 m L of milk, and 400 m L of water.

So, here Amount of water used = 2 x ( Amount of Milk used)  .......  (1)

Now,again the amount of water used by Dona = 450 m L

Let us assume the milk used by her  = k m L

⇒ 450 m L = 2 x ( k m L)     ( from (1))

or, 450 = 2  k

⇒  k    = 450/2  = 225

⇒   k   = 225 m L

Also, 1 m L = 0.001 L

So, 225 m L = 225 x  0.001  = 0.225 L

⇒   k   = 0.225  L

Hence, 0.225 L of milk, would be required if she uses 450 m L of water.

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