Answer:
6/5t+4/15s-3
Step-by-step explanation:
(-4/5t+5/3s)+(-3-7/5s+2t)
-4/5t+2t+5/3s-7/5s-3
-4/5t+10/5t+25/15s-21/15s-3
6/5t+4/15s-3
The addition of the algebraic expression is [tex]\rm \dfrac{4}{15s}+\dfrac{6}{5}-3[/tex].
Given
The given expressions are;
(-4/5t+5/3s) and (-3-7/5s+2t)
The addition of algebraic expressions requires categorizing the terms in an algebraic expression into two types - like and unlike terms.
Then, take up the like terms and add them.
Therefore,
The addition of algebraic expression is;
[tex]\rm = \dfrac{-4}{5}t+\dfrac{5}{3s}-3+\dfrac{-7}{5s}+2t\\\\=\dfrac{5}{3s}+\dfrac{-7}{5s} +2t+\dfrac{-4}{5t}-3\\\\= \dfrac{25-21}{15s} + \dfrac{10t-4t}{5}-3\\\\= \dfrac{4}{15s}+\dfrac{6}{5}-3[/tex]
Hence, the addition of the algebraic expression is [tex]\rm \dfrac{4}{15s}+\dfrac{6}{5}-3[/tex].
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