How do solve the following linear system?: $x - y = 2, x + 2 y = 5$ $x-y=2 , x+2y=5$ ?

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Answer 1 · 2016-03-10T15:37:55

The solution for the system of equations is:
$x = 3$ $color(blue)(x =3$

$y = 1$ $color(blue)(y=1$

$x - y = 2$ $color(blue)(x) -y =2$ ...........equation $(1)$ $(1)$

$x + 2 y = 5$ $color(blue)(x)+2y=5$ .........equation $(2)$ $(2)$

Solving by elimination
Subtracting equation $(2)$ $(2)$ from $(1)$ $(1)$

$cancelcolor(blue)(x) -y =2$
$-cancelcolor(blue)(x)-2y=-5$

$-3y =-3$

$y=(-3)/-3$

$color(blue)(y=1$

Finding $x$ from equation $1$ :
$x -y =2$

$x =2 + y$

$x =2 + 1$

$color(blue)(x =3$

How do solve the following linear system?: x-y=2 , x+2y=5 x−y=2,x+2y=5 x-y=2 , x+2y=5 ?