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2x/3+3y/4=7,5x-3y=18 simultanious linear eqution

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\large \green{ \underline{answer}} \\ \\ \large \implies \therefore \orange{ \boxed{ \: \: \: x =6 \: \: \: \: \: and \: \: \: \: y = 4 }} \\ \\ \large \implies \orange{ \underline{step \: - \: by \: - \: step \: \: \: explanation}} \\ \\ \large \implies{1) = \frac{2x}{3} + \frac{3y}{4} = 7......... (1) } \\ \\ \large \implies{2) = 5x - 3y = 18........(2)} \\ \\ \large \implies{we \: \: can \: \: write \: \: as \: \: equation \:( 1)} \\ \\ \large \implies{8x + 9y = 84....(1)} \\ \\ \large \implies{5x - 3y = 18....(2)} \\ \\ \large \implies{multiply \: \: equation \: \: (1) \: \: by \: \: 1 \: \: } \\ \\ \large \implies{multiply \: \: equation \: \: (2) \: by \: \: 3} \\ \\ \large \implies \therefore{equation \: \: \: will \: \: be \: \: \: written \: \: as} \\ \\ \large \implies{8x + 9y = 84...(1)} \\ \\ \large \implies{15x - 9y = 54....(2)} \\ \\ \large \implies{23x = 138} \\ \\ \large \implies{x = 6} \\ \\ \large \implies{put \: \: the \: \: value \: \: of \: \: x \: \: in \: \: equation \: \: (2)} \\ \\ \large \implies{y = 4} \\ \\ \large \implies \therefore \green{ \boxed{ \: \: x = 6 \: \: \: \: and \: \: \: y = 4}}


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