Question

2x-3/4 y =3 5x=2y+7 solve this by elimination methods​

Answer 1

Answer:

${\large{\overbrace{\underbrace{\purple{your \: \: answer:</strong><strong>x</strong><strong>=</strong><strong>3</strong><strong>\</strong><strong>:</strong><strong>\</strong><strong>:</strong><strong>y</strong><strong>=</strong><strong>4</strong><strong>}}}}} \\ \\ \bf\ ♡ dear *----*$

Step-by-step explanation:

$\bf\underline{ \bigstar \: using \: elimintion \: method \: \: \bigstar} \\ \\ \bf\ \bigstar \: 2x - \frac{3}{4}y = 3 \: \bigstar\\ \\ \bf\ \implies4 \times 2x - 4 \times \frac{3}{4}y = 3 \times 4 \\ \\ \bf\blue {\underline{\implies8x - 3y = 12 - - - - - (1)} }\\ \\ \bf\ \bigstar5x = 2y + 7 \bigstar \\ \\ \bf\ { \blue{ \underline {\implies5x - 2y = 7 - - - - - - (2)}}}\\ \\ \bf\ \underline{equtation \: (1) \: multiplied \: by \: 2 }.\\ \bf\ \implies2(8x - 3y) = 2 \times 12 \\ \\ \bf\ \implies16x - 6y = 24 - - - - - - - - - - (3) \\ \\ \bf\ \underline{equtation \: (2) \: multiplied \: by \: 3 }.\\ \bf\ 3(5x - 2y) = 3 \times 7 \\ \bf\ \implies15x - 6y = 21 - - - - - - - - - - (4) \\ \\ \bf\ \underline{ \mapsto \: now \: equtation \: (3) - equtation \: (4) \implies} \\ \\ \bf\ \implies(16x - 6y) - (15x - 6y) = 24 - 21 \\ \\ \bf\ \implies16x - 6y - 15x + 6y = 3 \\ \\ \huge\boxed{ \implies \: x = 3} \\ \\ \small\underline{ \underline{ \red{value \: of \: x \: put \: in \: equtation \: (2)}}} \\ \\ \bf\ \implies5 \times 3 - 2y = 7 \\ \\ \bf\ \implies15 - 2y = 7 \\ \\ \bf\ \implies - 2y = 7 - 15 \\ \\ \bf\ \implies - 2y = - 8 \\ \\ \bf\ \implies \: y = \frac{ - 8}{ - 2} \\ \\ \huge\boxed {\implies \: y = 4} \\ \\ \large\boxed{ \fcolorbox{purple}{yellow}{hope \: it \: help \: you}}$