How do you solve the system of equations by graphing and then classify the system as consistent or inconsistent 4x + 6y = 0 and x - 2y = 14?

May 6, 2018

$y = - 4$ and $x = 6$

Explanation:

show below

$4 x + 6 y = 0$.....(1)

$x - 2 y = 14$......(2)

from equation (2)

$x = 14 + 2 y$.....(3)

$4 \left(14 + 2 y\right) + 6 y = 0$

$56 + 8 y + 6 y = 0$

$14 y + 56 = 0$

$14 y = - 56$

$y = - 4$

$x = 14 + 2 \left(- 4\right) = 14 - 8 = 6$

$x = 6$