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sesenic [268]
2 years ago
6

10-(3x-1)/2=(6x+3)/11 If someone could help that would be great thank you!

Mathematics
1 answer:
grigory [225]2 years ago
3 0

If it is :

10 -  \frac{ (3x - 1)}{2} =  \frac{(6x + 3)}{11} \\

Multiply both sides by 22

(22 \times  10) - 11 \times (3x - 1) = 2 \times (6x + 3) \\

220   -  33x  +  11 = 12x + 6

- 33x + 231 = 12x + 6

Plus both sides <em>3</em><em>3</em><em>x</em>

231 = 33x + 12x + 6

231 = 45x + 6

Subtract sides minus 6

231 - 6 = 45x

45x = 225

Divided sides by 45

x =  \frac{225}{45} \\

x = 5

_________________________________

If it is :

\frac{10 - (3x - 1)}{2} =  \frac{6x + 3}{11} \\

Multiply sides by 22

(11 \times 10) - 11 \times (3x - 1) = 2 \times (6x + 3) \\

110 - 33x + 11 = 12x + 6

- 33x + 121 = 12x + 6

Plus sides <em>3</em><em>3</em><em>x</em>

121 = 12x + 33x + 6

121 = 45x + 6

Subtract sides minus 6

121 - 6 = 45x

45x = 115

x =  \frac{115}{45} \\

x =  \frac{23}{9} \\

_________________________________

And we're done.

Thanks for watching buddy good luck.

♥️♥️♥️♥️♥️

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