Question

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

Answer 1

(0,4) or A

Explanation:

Edge 2021

Answer 2

Given:

The system of equation is:

`-2x+4y=16`

`2x+2y=8`

To find:

The solution of the given system of equations.

Solution:

We have,

`-2x+4y=16` ...(i)

`2x+2y=8` ...(ii)

Add (i) and (ii) to eliminate the variable x.

`6y=24`

`y=(24)/(6)`

`y=4`

Putting
`y=4` in (ii), we get

`2x+2(4)=8`

`2x+8=8`

`2x=8-8`

`2x=0`

Divide both sides by 2.

`x=0`

Therefore, the solution of given system of equations is (0,4). Hence, the correct option is A.