Question

what shot be subracted from -2\13 to get 5\2 ?
?​

Answer 1

Answer:

x = -69/26

Step-by-step explanation:

-2/13 - x = 5/2

-x = 5/2 + 2/13

-x = 65/26 + 4/26

-x = 69/26

x = -69/26

Check ⇒

x = -69/26

-2/13 - x = 5/2

-2/13 - (-69/26) = 5/2

-2/13 + 69/26 = 5/2

-4/26 + 69/26 = 5/2

65/26 = 5/2

5/2 = 5/2

L.H.S = R.H.S

Hence, verified

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Answer 2

$\sf \dfrac{ - 2}{13} - x = \dfrac{5}{2} \\ \\ \sf \: - x = \dfrac{5}{2} - \dfrac{ - 2}{13} \\ \\ \sf \: - x = \dfrac{65 - ( - 4)}{26} \\ \\ \sf - x = \dfrac{65 + 4)}{26} \\ \\ \sf - x = \dfrac{69}{26} \\ \\ \sf \: x = \dfrac{ - 69}{26}$