What is the solution set for 7x + 5y = -46 and x = 8-8y?

Aug 23, 2015

The solutions are
color(blue)(x=-8,y=2

Explanation:

$7 x + 5 y = - 46$......equation $1$

$x + 8 y = 8$, multiplying this equation by $7$
$7 x + 56 y = 56$....equation $2$

Solving by elimination
Subtracting equation $2$ from $1$
$\cancel{7} x + 5 y = - 46$
$\cancel{- 7 x} - 56 y = - 56$

$- 51 y = - 102$
color(blue)(y=2

Finding $x$ from equation $2$
$x + 8 y = 8$
$x = 8 - 8 y$
$x = 8 - 16$
 color(blue)(x =-8