Answer:
The solution of the system of the equation is (2, 2)
Step-by-step explanation:
Let us solve the system of equations
∵ 3x + y = 8 ⇒ (1)
∵ 3x - y = 4 ⇒ (2)
→ Add equations (1) and (2) to eliminate y
∴ (3x + 3x) + (y + -y) = (8 + 4)
∴ 6x + 0 = 12
∴ 6x = 12
→ Divide both sides by 6 to find x
∵ [tex]\frac{6x}{6}=\frac{12}{6}[/tex]
∴ x = 2
→ Substitute the value of x in equation (1) to find y
∵ 3(2) + y = 8
∴ 6 + y = 8
→ Subtract 6 from both sides
∵ 6 - 6 + y = 8 - 6
∴ y = 2
∴ The solution of the system of the equation is (2, 2)
