Question

Slove 3x-5y=-1; x-y=-1 in substitution method?

Answer 1

Answer:

x=-2,y=-1

it will useful to you

Answer 2

${\large{\overbrace{\underbrace{\purple{your \: answer:x=0\:y=-1 }}}}} \\ \\ ♡ dear *----*$

$\bf\red{ \underline{ \mapsto \: using \: substitution \: method}}$

$\bf\ step \: 1 :Solve \: one \: of \: the \: equations \: for \\ \bf\ \: either \: x = or \: y \\ \bf\ We \: will \: solve \: second \: equation \: for \: x.$

$\bf\ \bigstar 3x - 5y = - 1 - - - - - - (1) \\ \\ \bf\ \bigstar \: x - y = - 1 - - - - - - - (2) \\ \bf\ \implies \: x = - 1 + y - - - - - - (3) \\ \\ \bf\ \: step : 2 \: substitude \: the \: solution \: from \: step \: 1 \: \\ \bf\ into \: the \: second \: equation. \\ \\ \bf\ 3x - 5y = -1 \\ \\ \bf\ 3x - 5( - 1 + y) = - 1\\ \\ \bf\ step \: 3: Solve\: this \:new \:equation.\\ \\ \bf\ 3( - 1 + y) - 5y = - 1 \\ \\ \bf\ : \implies - 3 + 3y - 5y = - 1 \\ \\ \bf\ : \implies - 3 - 2y = - 1 \\ \\ \bf\ : \implies - 2y = - 1 + 3 \\ \\ \bf\ : \implies - 2y = 2 \\ \\ \bf\ : \implies \: y = \frac{2}{ - 2} \\ \\ \boxed{ : \implies \: y = - 1} \\ \\ \bf\ step \: 4 : Solve \: for \: the \: second \: variable \\ \\ \bf\ x - y = - 1 \\ \\ \bf\ \implies \: x - ( - 1) = 1 \\ \\ \bf\ \implies x + 1 = 1 \\ \\ \bf\ \implies x = 1 - 1 \\ \\ \boxed{\ \implies x = 0 }$

$\large\boxed{ \fcolorbox{red}{green}{hope \: it \: help \: you}}$