Question

x+y=5,2x-3y=14 by substution method​

Answer 1

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Answer 2

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$\sf{x + y = 5 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: ... (i)} \\ \sf{2x - 3y = 14 \: \: \: \: \: \: \: \: ...(ii)} \\ \\ \sf{by \: using \: substitution \: method : } \\ \sf{x + y = 5} \\ \sf{x = 5 - y } \\ \sf{putting \: this \: value \: of \: x \: in \: eq {}^{n} (ii)} \\ \sf{2x - 3y = 14 \: \: \: \: \: \: \: ...(ii)} \\ \sf{2(5 - y) - 3y = 14} \\ \sf{10 - 2y - 3y = 14} \\ \sf{10 - 5y = 14} \\ \sf{ - 5y = 14 - 10} \\ \sf{ - 5y = 4} \\ \sf{y = \frac{4}{ - 5} } \\ \boxed{\sf{y = - \frac{4}{5} }}$

$\sf{now : } \\ \sf{putting \: value \: of \: y \: in \: eq {}^{n} (i)} \\ \sf{x + y = 5} \\ \sf{x + ( - \frac{4}{5} ) = 5} \\ \sf{x = 5 - \frac{4}{5} } \\ \sf{x = \frac{25 + 4}{5} } \\ \boxed{ \sf{x = \frac{29}{5} }}$