Asked by Kazuko
Does 𝑥 = 1.6 satisfy the equation 6 −4𝑥 = − x over 4?
Answers
Answered by
Bosnian
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
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
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