Question

2x-5/3 + 3x-2/2 = 1
ok so I know the answer is 22/13, and I got stuck from the part 4x-10+9x-6=1 which is equal to -13/15.. but how is it -13/15 pls explain​

Answer 1

$\large\sf\underline{Answer\::}$

$\sf\:\frac{2x-5}{3} + \frac{3x-2}{2}=1$

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• Taking LCM of 3 and 2 that is 6

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$\sf\implies\:\frac{2(2x-5)+3(3x-2)}{6} =1$

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• Multiplying the terms in the Numerator and removing the brackets

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$\sf\implies\:\frac{4x-10+(9x-6)}{6} =1$

$\sf\implies\:\frac{4x-10+9x-6}{6} =1$

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• Calculating like terms

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$\sf\implies\:\frac{13x-16}{6} =1$

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• Cross multiplying

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$\sf\implies\:13x-16 =1 \times 6$

$\sf\implies\:13x-16 =6$

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• Transposing -16 to other side it becomes +16

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$\sf\implies\:13x=6+16$

$\sf\implies\:13x=22$

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• Transposing 13 to other side it goes to the denominator

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$\small{\underline{\boxed{\mathrm\red{\implies\:\frac{22}{13}}}}}$ ★

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!! Hope it helps !!