Question

consider the system of equations. what value of x satisfies the system of equations? 6x + 2y = -20 y = -2x - 4 x = 6 x = -6 x = -8 x = 8

Explanation:

Step1: Substitute \( y \) into the first equation

We know \( y = -2x - 4 \), substitute it into \( 6x + 2y = -20 \). So we get \( 6x + 2(-2x - 4) = -20 \).

Step2: Simplify the equation

First, expand the left - hand side: \( 6x-4x - 8=-20 \). Then combine like terms: \( 2x-8 = -20 \).

Step3: Solve for \( x \)

Add 8 to both sides of the equation: \( 2x-8 + 8=-20 + 8 \), which simplifies to \( 2x=-12 \). Then divide both sides by 2: \( x=\frac{-12}{2}=-6 \).

Answer:

\( x = - 6 \) (corresponding to the option: \( x=-6 \))