Question

1. x + 4y = -4

x + 4y = -16

Explanation:

Step1: Rewrite equations in slope - intercept form

For $x + 4y=-4$, solve for $y$:
$4y=-x - 4$, so $y =-\frac{1}{4}x - 1$.
For $x + 4y=-16$, solve for $y$:
$4y=-x - 16$, so $y=-\frac{1}{4}x - 4$.

Step2: Analyze the system

The two lines have the same slope $m =-\frac{1}{4}$ and different y - intercepts ($b_1=-1$ and $b_2 = - 4$). So the lines are parallel and there is no solution.

Answer:

No solution