Answer:
The solution of the system of the equations is (2, 1) ⇒ B
Explanation:
Let us solve the system of equations
∵ 3x + 2y = 8 ⇒ (1)
∵ 5x + 2y = 12 ⇒ (2)
→ Subtract equation (1) from equation (2)
∴ (5x - 3x) + (2y - 2y) = (12 - 8)
∴ 2x + 0 = 4
∴ 2x = 4
→ Divide both sides by 2
∴ x = 2
→ Substitute the value of x in equation (1) or (2) to find y
∵ 3(2) + 2y = 8
∴ 6 + 2y = 8
→ Subtract 6 from both sides
∵ 6 - 6 + 2y = 8 - 6
∴ 2y = 2
→ Divide both sides by 2 to find y
∴ y = 1
∴ The solution of the system of the equations is (2, 1)