Question

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

Answer 1

Answer:

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 ).