Question

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

Answer 1

Answer:

(0,4) or A

Step-by-step 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.

$6y=24$

$y=\dfrac{24}{6}$

$y=4$

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.