Question

1. \\( y = -2x \\)\\( -16x + 7y = 30 \\)\\( 2. \\) \\( x = \\)

Explanation:

Step1: Substitute \( y = -2x \) into the second equation

We have the system of equations:
\[

$$\begin{cases} y = -2x \\ -16x + 7y = 30 \end{cases}$$

\]
Substitute \( y = -2x \) into \( -16x + 7y = 30 \), we get:
\( -16x + 7(-2x) = 30 \)

Step2: Simplify and solve for \( x \)

Simplify the left - hand side of the equation:
\( -16x-14x = 30 \)
Combine like terms:
\( -30x = 30 \)
Divide both sides by - 30:
\( x=\frac{30}{-30}=-1 \)

Step3: Substitute \( x = - 1 \) into \( y=-2x \) to find \( y \)

Substitute \( x=-1 \) into \( y = - 2x \):
\( y=-2\times(-1)=2 \)

Answer:

The solution of the system of equations is \( x=-1,y = 2 \)