Question

Tao uses elimination to solve the following system of linear equations.

-2x+4y= 16
| 2x+2y = 8
Which ordered pair is the solution to the system?
(0.4)
(0.8)
(4.0)
(8.0

Answer 1

The answer is (0, 4)

Answer 2

Answer: The correct option is

(A) (0, 4).

Step-by-step explanation: Given that Tao uses elimination to solve the following system of linear equations :

`-2x+4y=16~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)\\\\2x+2y=8~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(ii)`

We are to find the ordered pair that is the solution to the above system of equations.

Adding equations (i) and (ii), we get

`(-2x+4y)+(2x+2y)=16+8\\\\\Rightarrow 6y=24\\\\\Rightarrow y=(24)/(6)\\\\\Rightarrow y=4.`

From equation (i), we get

`-2x+4*4=16\\\\\Rightarrow -2x+16=16\\\\\Rightarrow -2x=0\\\\\Rightarrow x=0.`

Thus, the required solution is (x, y) = (0, 4).

Option (A) is CORRECT.