Question

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

Answer 1

Answer:

Option 4th is correct

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

Step-by-step 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)

Answer 2

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