How do you solve the following system?: $x - y = - 6, 2 x - 5 y = 7$ $x - y = -6, 2x -5y=7$

Question

1899 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-03-13T13:29:27

The solution for the system of equations is:
$x = - \frac{37}{3}$ $color(green)(x=-37/3$

$y = \frac{- 19}{3}$ $color(green)(y= (-19)/3$

$x - y = - 6$ $x-y=-6$ , multiplying this equation by $2$ $2$
$2 x - 2 y = - 12$ $color(blue)(2x)-2y=-12$ ...............equation $(1)$ $(1)$

$2 x - 5 y = 7$ $color(blue)(2x) - 5y =7$ ........................equation $(2)$ $(2)$

Solving by elimination.

Subtracting equation $2$ $2$ from $1$ $1$ results in elimination of $2 x$ $color(blue)(2x)$ from the equations.

$cancelcolor(blue)(2x)-2y=-12$
$-cancelcolor(blue)(2x) + 5y =-7$

$3y = -19$

$color(green)(y= (-19)/3$

Finding the value of $x$ from equation $1$ :

$x-y=-6$

$x=-6 + y$

$x=-6 + color(green)(((-19)/3))$

$x=-18/3 + ( (-19)/3)$

$color(green)(x=-37/3$

How do you solve the following system?: x - y = -6, 2x -5y=7 x−y=−6,2x−5y=7 x - y = -6, 2x -5y=7