Question

4a + __ + 2c = 5b + __ + 4a
answer the question with explanation
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Answer 1

Step-by-step explanation:

4a+5b+2c=5b+2c+4a

in algebra we can do addition in any order the answer will remain the same

Answer 2

Solution :-

since it is given that -

$4a + - - + 2c = 5b + - - + 4a \\ \\ { \sf{in \: the \: left \: hand \: side \: we \: can \: see \: that \: a \: term \: with \: coefficient \: b \: is \: missing}} \\ \orange { \sf{in \: the \: right \: hand \: side \: a \: \: term \: with \: coefficient \: c \: is \: missing}} \\ { \sf{so \: in \: left \: hand \: side \: we \: can \: fill \: the \: blank \: with \: a \: term \: with \: coefficient \: b}} \\ \orange{4a + 5b + 2c} = \: { \sf{left \: hand \: side}} \\ \orange{5b + 2c + 4a} = { \sf{right \: hand \: side}} \\ \sf{on \: comparing \: both \: sides} - \\ \orange{ \sf{left \: hand \: side \: = right \: hand \: side}} \: \: \: i.e. \\ 4a + 5b + 2c = 5b + 2c + 4a$

Hope it helps u ⭐