What is 6x - 8 = 4 written as a system? y = 6x - 8 y = - 4 y = 6x - 8 y = 4 y = - 6x + 8 y = 4

6x - 8 = 4 written as a system. Hence second option is correct

Solution:

Given, equation is 6x - 8 = 4.

We have to find the equivalent system from given options.

First let us solve given equation, 6x - 8 = 4 ⇒ 6x = 4 + 8 ⇒ 6x = 12 ⇒ x = 2

Now, let us solve one by one option, so that when we get above solution, that is correct option.

y = 6x - 8 and y = - 4 ⇒ put y = - 4 in y = 6x - 8 ⇒ 6x - 8 = - 4 ⇒ 6x = 8 - 4

⇒ 6x = 4 ⇒ x ≠ 2, wrong option

y = 6x - 8 and y = 4 ⇒ put y = 4 in y = 6x - 8 ⇒ 6x - 8 = 4 ⇒ 6x = 8 + 4 ⇒ 6x = 12 ⇒ x = 2, right option. y = - 6x + 8 and y = 4 ⇒ put y = 4 in y = - 6x + 8 ⇒ - 6x + 8 = 4 ⇒ 6x = 8 - 4 ⇒ 6x = 4 ⇒ x ≠ 2, wrong option

hence, second option is correct.