Question

resuelve el siguiente sistema de ecuaciones con el método de sust
solve the following system of equations with the substitution meth
\

$$\begin{cases} -x + y = -8 \\\\ y = x + 4 \\end{cases}$$

\bigcirc one or more solutions: \square
\bigcirc no solution
\bigcirc infinite number of solutions

Explanation:

Step1: Substitute \( y = x + 4 \) into \( -x + y = -8 \)

Substitute \( y \) in the first equation: \( -x + (x + 4) = -8 \)

Step2: Simplify the equation

Simplify left - hand side: \( -x+x + 4=-8\), which simplifies to \( 4=-8 \)
Since \( 4=-8 \) is a false statement, the system of equations has no solution.

Answer:

No solution