Question

Use the elimination method to solve the system of equations. Choose the

correct ordered pair
3y = x-1
x-2y = 2
O A. (12,5)
O B. (6,2)
O c. (10,4)
O D. (4.1)

Answer 1

Answer:4,1

Explanation:

Answer 2

Option D

The correct ordered pair is (4, 1)

Solution:

Given that system of equations is:

3y = x - 1 ----- eqn 1

x - 2y = 2 ---- eqn 2

We have to use elimination method to solve the system of equations

From eqn 1,

3y = x - 1

Rearranging into standard form, we get

x - 3y = 1 ---- eqn 3

Subtract eqn 3 from eqn 2

x - 2y = 2

x - 3y = 1

(-) ---------------------

y = 1

Substitute y = 1 in eqn 1

3(1) = x - 1

3 = x - 1

x = 4

Thus the solution to given system of equations is (4, 1) Thus option D is correct