Question

solve by method of elimination 5x+6y=5 2x-5y=16​

Answer 1

$5x + 6y = 5 \: \: \:\texttt{and} \: \: \: 2x - 5y = 16 \\ \\ \texttt{by \: elemination \: method} \\ \\ \frac{5x + 6y = 5 \times 2}{} \\ \frac{2x - 5y = 16 \times 5}{ } \\ \\ \frac{10x + 12y = 10}{} \\ \frac{10x - 25y = 65}{ - \: \: \: \: \: \: \: \: \: + \: \: \: \: \: \: \: - } \\ \\ 37y = 55 \\ \\ y = \frac{-55}{37} \\ \texttt{substitute \: y \: value \: to \: above \: the \: eqn} \\ \\ 5x + 6 (\frac{-55}{37}) = 5 \\ \\ 5x - 330= 185 \\ \\ 5x = 185 + 330 \\ \\ x = \frac{ 515}{5} \\ \\ \texttt{x = 103} \\ \\ \\ \\ \\ \tiny \texttt{hope \: this \: helps \: }$

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