Question

3x+2y=19,5x-2y=5
Determine the solution

Answer 1

Answer:

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Answer 2

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$\tt{ 3x + 2y = 19}.....(i) \\ \tt{ 5x - 2y = 5}.....(ii) \\ \tt{ determine \: the \: solution}$

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$\blue{ \tt{x = 3 }}\\ \blue{ \tt{ y = 5}}$

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$\tt{on \: adding \:both \: the \: equation \: we \: get}$

$\tt{3x + \cancel{2y} = 19} \\ \tt{5x - \cancel{2y} = 05 }\\ - - - - - - - - - \\ \tt{8x = 24} \\ \tt{x = \frac{24}{8} } \\ \tt \red{ \therefore \: x = 3}$

$\tt{on \: putting \: x = 3 \: on \: equation \: (ii) \: we \: get}$

$\tt{5x - 2y = 5} \\ \tt{ 5(3) - 2y = 5} \\ \tt{15 - 5 = 2y}\\ \tt{2y = 10} \\ \tt{ y = \frac{10}{2} }\\ \tt \red{\therefore \: y = 5}$