Answer:
(6y + 2)² = 4x²
Step-by-step explanation:
Given: x - 1 = 3y
Dividing by 3,
⇒ y = [tex]$ \frac{x - 1}{3} $[/tex]
Now, to determine 6y, multiply the equation throughout by 6y.
⇒ 6y = [tex]$ \frac{6(x - 1)}{3} $[/tex]
⇒ 6y = 2(x - 1)
⇒ 6y = 2x - 2
Now, for 6y + 2, add 2 on both sides.
⇒ 6y + 2 = 2x - 2 + 2
⇒ 6y + 2 = 2x
Finally, Squaring both sides, will give us (6y + 2)².
⇒ (6y + 2)² = (2x)²
= 4x² which is the required answer.
