Question

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Answer 1

Step-by-step explanation:

$\large\boxed{ \fcolorbox{red}{green}{3.5} }+\large\boxed{ \fcolorbox{blue}{red}{4.5} } = 8 \\ \: \: \: \: + \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: + \\ \large\boxed{ \fcolorbox{red}{blue}{9.5}} - \large\boxed{ \fcolorbox{pink}{pink}{3.5}} = 6 \\ \: \: = 13 \: \: \: \: \: \: \: \: \: \: = 8$

$\bf\purple{ \mapsto: given \: a + b = 8 - - - (1)} \\ \bf\green{ \mapsto: a + c = 13 - - - - (2) } \\ \bf\purple{ \mapsto:c - d = 6 - - - - - (3) } \\ \bf\pink{ \mapsto: b + d =8 - - - - - (4) } \\ \\ \bf\orange{ \mapsto: (1) = > b = 8 - a - - - - (5)} \\ \bf\red{ \bigstar:value \: of \: b \: put \: in \: (4) } \\ \bf\green{ \mapsto:8 - a + d = 8 } \\ \bf\purple{ \mapsto: - a +d =8 - a } \\ \bf\blue{ \mapsto: d = a - - - (6)} \\ \bf\green{ \bigstar:replace \: d \: with \: a \: in \: 2} \\ \bf\pink{ \mapsto: c - a = 6 - - - - (7)} \\ \\ \bf\orange{ (7) - (3) \implies} \\ \bf\red{ \mapsto:(c - a) - (a + c) = 6 - 13 } \\ \bf\purple{ \mapsto:2a = 7 } \\ \bf\blue{ \mapsto:a = 3.5 } \\ \bf\orange{ \bigstar:value \: of \: a \: put \: in \: (5)} \\ \bf\red{ \mapsto:b = 8 - 3.5 } \\ \bf\pink{ \mapsto: b = 4.5} \\ \bf\blue{ (6) \implies \: d = a} \\ \bf\green{ \mapsto: d = 3.5} \\ \bf\red{ a+c = 13 - - - - (from \: 3)} \\ \bf\orange{ \mapsto:c = 13 - 3.5 } \\ \bf\green{ \implies \: c = 9.5 }$