Question

3x+1/5=2-x solve the equation and check​

Answer 1

Answer:

$3x + \frac{1}{5} = 2 - x \\ 3x + x = 2 - \frac{1}{5} \\ 4x = \frac{10 - 1}{5} = \frac{9}{5} \\ x = \frac{9}{20} \\ lhs \: = 3 \times \frac{9}{20} + \frac{1}{5} = \frac{27 + 4}{20} = \frac{31}{20} \\ rhs \: = 2 - \frac{9}{20} = \frac{40 - 9}{20} = \frac{31}{20}$

Therefore, LHS = RHS

Hence proved

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Answer 2

Step-by-step explanation:

3x+1=10-5x

3x+5x=10-1

8x=9

x=9/8

check

3×9/8+1=10-5×9/8

(27+8)÷8=10-45/8

(27+8)/8=(80-45)/8

35/8=35/8