Answer:
correct ordered pair ( 4 , 1 ).
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 ).