4x + 3y = 16

7x+6y = 31

O

O

O

O

A. (1,4)

B. (1,3)

C. (4,3)

D. (4,0)

Answer:A

A

Step-by-step explanation:

Given the 2 equations

4x + 3y = 16 → (1)

7x + 6y = 31 → (2)

Multiplying (1) by - 2 and adding to (2) eliminates the term in y

- 8x - 6y = - 32 → (3)

Add (2) and (3) term by term

- x = - 1 (multiply both sides by - 1)

x = 1

Substitute x = 1 into either (1) or (2)

Substituting in (1), then

(4 * 1) + 3y = 16

4 + 3y = 16 (subtract 4 from both sides)

3y = 12 (divide both sides by 3)

y = 4

Solution is (1, 4) → A