Question

Solve the given system of equations using any method and then choose the correct ordered pair from the given choices:

x + y = 3
3x - y = 1
Select one:
O a. (2.1)
O b.(-2,-1)
O c. (1,2)
O d. (-1,2)​

Answer 1

c

Explanation:

Given the 2 equations

x + y = 3 → (1)

3x - y = 1 → (2)

Adding the 2 equations term by term will eliminate the term in y

4x = 4 ( divide both sides by 4)

x = 1

Substitute x = 1 into either of the 2 equations and evaluate for y

Substituting into (1)

1 + y = 3 ( subtract 1 from both sides )

y = 2

Solution is (1, 2 ) → c