( 3 5/6 +а) - 2 1/6 =58 6/13 - (b+ 9/13) = 4 2/13

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вопрос

To solve the first equation:

3 5/6 + a - 2 1/6 = 58 6/1
Convert all mixed fractions to improper fractions
23/6 + a - 13/6 = 473/1
Combine like terms
23/6 - 13/6 + a = 473/1
10/6 + a = 473/1
Simplify 10/6 to 5/3
5/3 + a = 473/1
To isolate 'a' on one side, subtract 5/3 from both sides
a = 473/13 - 5/
a = 3644/39

So, a = 3644/39

To solve the second equation:

58 6/13 - (b + 9/13) = 4 2/1
Convert all mixed fractions to improper fractions
760/13 - (b + 9/13) = 54/1
Distribute the negative sign
760/13 - b - 9/13 = 54/1
Combine like terms
(760 - 9)/13 - b = 54/1
751/13 - b = 54/1
To isolate 'b' on one side, subtract 751/13 from both sides
-b = 54/13 - 751/1
-b = -697/1
Multiply both sides by -1 to solve for 'b'
b = 697/13

So, b = 697/13