Question

2x+3y=17/5,5x+y=2 solve by using reducing method.​

Answer 1

Answer:

$2x + 3y = \frac{17}{5} \\ 5(2x + 3y) = 17 \\ 10x + 15y = 17 - (i)\\ 5x + y = 2 - (ii) \\\blue{\mathfrak{\underline{\large{multiply \: {eq}^{n} (ii) \: by \: 2}}}:} \\ 10x + 2y = 4 - (iii) \\ \blue{\mathfrak{\underline{\large{reduce \: {eq}^{n} \: (iii) \: in \: (i)}}}:} \\ 10x + 15y = 17 \\ 10x \: + \: 2y = 4 \: \: \: \\ - \: \: \: \: \: \: \: \: - \: \: \: \: \: \: \: \: \: - \: \: \: \: \: \: \: \\ - - - - - - - - - \\ 13y = 13 \\ \boxed{y = 1} \\ \blue{\mathfrak{\underline{\large{put \: the \: value \: of \: ‘y’ \: in \: {eq}^{n} \: (ii) }}}:} \\ 5x + 1 = 2 \\ 5x = 1 \\ \boxed{x = \frac{1}{5} } \\ \\ \red{\mathfrak{\underline{\large{Hope \: It \: Helps \: You }}}} \\ \green{\mathfrak{\underline{\large{Mark \: Me \: Brainliest}}}}$