Verified answer

[tex]1) \: y + \frac{19}{47 } = \frac{23}{47} \\ y = \frac{23}{47} - \frac{19}{47} \\ y = \frac{4}{47} [/tex]

[tex]2) \: \frac{8}{13} - z = \frac{5}{13} \\ z = \frac{8}{13} - \frac{5}{13} \\ z = \frac{3}{13} [/tex]

[tex]3) \: \frac{19}{43} + t = \frac{21}{43} \\ t = \frac{21}{43} - \frac{19}{43} \\ t = \frac{2}{43} [/tex]

[tex]4) \: x - \frac{18}{71} = \frac{23}{71} \\ x = \frac{23}{71} + \frac{18}{71} \\ x = \frac{41}{71} [/tex]

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