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Papessa [141]
2 years ago
5

How to solve 6x - 9 - 2 (1 - x) = x + 9​

Mathematics
1 answer:
Likurg_2 [28]2 years ago
7 0

x = 2.857

\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}

6x - 9 - 2(1 - x) = x + 9 \\ ⇢ 6x - 9 - 2 + 2x = x + 9 \\ ⇢ 8x - x = 9 + 11 \\ ⇢ 7x = 20 \\ ⇢  x =  \frac{20}{7}  \\ ⇢ x = 2.857

{ \bf{ \underbrace{To\:verify:}}}

6 \times 2.857 - 9 - 2(1 - 2.857) = 2.857 + 9 \\ ➪ \: 17.142 - 9 - 2 \times(  - 1.857) = 11.857 \\➪ \: 8.142 + 3.714 = 11.857 \\➪ \: 11.856 = 11.857 \\  ➪ \: 11.86 = 11.86 \\ ➪ L.H.S.=R. H. S

Hence verified.

\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{.}}}}}

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