Question

solve the following equation.also verity the solution. 2x/3-x/5=3x-11/5

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Answer 1

Answer:

$\frac{2x}{3} - \frac{x}{5} = 3x - \frac{11}{5} \\ \\ = \frac{10x - 3x}{15} = \frac{15x - 11}{5} \\ \\ = \frac{7x}{15} = \frac{15x - 11}{5} \\ \\ = 5(7x) = 15(15x - 11) \\ \\ = 35x = 225x - 165 \\ \\ = 165 = 225x - 35x \\ \\ = 165 = 190x \\ \\ x = \frac{165}{190} \\ \\ x = \frac{33}{38}$

Answer 2

Answer:

$\frac{2x}{3} - \frac{x}{5} = 3x - \frac{11}{5} \\ \\ = \frac{10x - 3x}{15} = \frac{15x - 11}{5} \\ \\ = \frac{7x}{15} = \frac{15x - 11}{5} \\ \\ = 35x = 225x - 165 \\ \\ = - 225x + 35x = - 165 \\ \\ = - 190x = - 165 \\ \\ x = \frac{165}{190} \\ \\ x = \frac{33}{38}$