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The linear combination method is applied to a system of equations as shown.

4(.25x + .5y = 3.75) → x + 2y = 15
(4x – 8y = 12) → x – 2y = 3
2x = 18
What is the solution of the system of equations?

(1,2)
(3,9)
(5,5)
(9,3)

User Amenti
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2 Answers

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If you apply the linear combination method to the system like:
4(.25x + .5y = 3.75) → x + 2y = 15
(4x – 8y = 12) → x – 2y = 3
2x = 18
Then you can be sure that the solution of all this system is: (9,3). Hope this si what you were looking for
User Jirimertin
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0 votes

Answer:

Option 4th is correct

The solution of the system of equations is, (9, 3)

Explanation:

Given the system of equations:


4(0.25x+0.5y = 3.75)


x+2y= 15 .....[1]


4x-8y = 12


x-2y = 3 .....[2]

Add equation [1] and [2] we have;


2x = 18

Divide both sides by 2 we have;


x = 9

Substitute x = 9 in [1] we have;


9+2y = 15

Subtract 9 from both sides we have;

2y = 6

Divide both sides by 2, we have;

y = 3

Therefore, the solution of the system of equations is, (9, 3)

User Toshia
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