Question

x + y = 2 2x - 4y = 1

Answer 1

ANSWER✔

$\dashrightarrow x+y=2\:--\boxed{1}$

$\dashrightarrow 2x-4y=1\:---\boxed{2}$

$\therefore taking\:equation\:1$

$\implies x+y=2$

$\implies x=2-y$

$\therefore substituting\:the\:value\:of\:x\:in\:equation\:2.we\:get,$

$\implies 2x-4y=1$

$\implies 2(2-y)-4Y=1$

$\implies 4-2y-4y=1$

$\implies 4-6y=1$

$\implies -6y=1-4$

$\implies -6y=-3$

$\implies y= \dfrac{-3}{-6}$

$\implies y=\cancel \dfrac{-3}{-6}$

$\implies y= \dfrac{1}{2}$

$\large{\boxed{\bf{ \star\:\:y= \dfrac{1}{2} \:\: \star}}}$

$\sf\therefore y=\dfrac{1}{2}$

$\therefore putting\:the\:value\:of\:y\:in\:equation \:1$

$\implies x+y=2$

$\implies x+ \dfrac{1}{2} =2$

$\implies x= 2-\dfrac{1}{2}$

$\implies x= \dfrac{4-1}{2}$

$\implies x= \dfrac{3}{2}$

$\large{\boxed{\bf{ \star\:\: x= \dfrac{3}{2}\:\: \star}}}$

____________

Answer 2

Answer:

X+Y=2............equation 1

2x-4y=1.........equation 2

multiply equation 1 by 4

4*X+4*Y=4*2

4X+4Y=8.......equation 3

addition between equation 3 and equation 2

4X+4Y=8

2X-4y=1

...............

6X=9

X=9/6

X=3/2

X=3/2 put this value in equation 1

X+Y=2

3/2+Y=2

Y= 2-3/2

Y=4-3/2

Y=1/2