Use the elimination method to solve the system of equations. choose the correct ordered pair. 3y=x-1 x-2y=2

correct ordered pair  ( 4 , 1 ).

Step-by-step explanation:

Given :  3y=x-1 and x-2y=2.

To find : Use the elimination method to solve the system of equations.

Solution : We have given that

3y = x - 1 (1)

x - 2y = 2(2)

On subtracting x from both sides from equation 2.

-2y = -x + 2 (2)

Now adding equation 1 and 2

3y = x - 1 (1)

-2y = -x + 2 (2)

y = 0 + 1

y = 1.

Now plug the value y = 1 in equation 1

3 (1) = x  - 1.

3 = x - 1.

On adding both sides by 1

3 +1 = x

x = 4.

Pairs ( 4 , 1 )

Therefore,  correct ordered pair  ( 4 , 1 ).

none of the above.

for one of the equations to be used in the process, there has to be a term in the equation since squared is .

since there is only a term in the first equation, we cannot derive a from completing the square.

solving with completing the square