Does 𝑥 = 1.6 satisfy the equation 6 −4𝑥 = − x over 4?

Answer 1

Yes

6 - 4 x = - x / 4

Multiply both sides by 4

24 - 16 x = - x

Add 16 x to both sides

24 = 15 x

15 x = 24

Divide both sides by 15

x = 24 / 15 = 3 ∙ 8 / 3 ∙ 5 = 8 / 5 = 2 ∙ 8 / 2 ∙ 5 = 16 / 10 = 1.6

Check result:

6 - 4 x = - x / 4

6 - 4 ∙ 1.6 = - 1.6 / 4

6 - 6.4 = - 0.4

- 0.4 = - 0.4