Answer:
The value of a is 4 ⇒ D
Step-by-step explanation:
In the system of equations
∵ y = ax ⇒ (1)
∵ ax + y = 16 ⇒ (2)
∵ The solution of the system is (2, 8)
∴ x = 2 and y = 8
→ To find the value of a substitute x by 2 and y by 8 in equation (1) or (2)
∵ y = ax
∵ y = 8 and x = 2
∴ 8 = a(2)
∴ 8 = 2a
→ Divide both sides by 2
∵ [tex]\frac{8}{2}[/tex] = [tex]\frac{2a}{2}[/tex]
∴ 4 = a
∴ The value of a is 4
