How do you solve the system 8x+2y=2 and -4x=y+8?

Aug 1, 2018

$\text{no solution}$

Explanation:

$8 x + 2 y = 2 \to \left(1\right)$

$- 4 x = y + 8 \to \left(2\right)$

$\text{from } \left(2\right) \textcolor{w h i t e}{x} y = - 4 x - 8$

$\text{substitute "y=-4x-8" into equation } \left(1\right)$

$8 x + 2 \left(- 4 x - 8\right) = 2$

$8 x - 8 x - 16 = 2$

$- 16 = 2 \leftarrow \text{not possible}$

$\text{There is no solution to this system}$