Question

1. use substitution to solve the system of equations.

$y + 1 = -2x$
$4y + 8x = -4$

Explanation:

Step1: Isolate $y$ in first equation

$y = -2x - 1$

Step2: Substitute $y$ into second equation

$4(-2x - 1) + 8x = -4$

Step3: Simplify the substituted equation

$-8x - 4 + 8x = -4$
$-4 = -4$

Step4: Interpret the result

The equation is always true, meaning the two equations represent the same line, so there are infinitely many solutions where $y = -2x - 1$ for any real $x$.

Answer:

There are infinitely many solutions, given by $y = -2x - 1$ where $x$ is any real number.