Question

1. $-7x + 2y = 0$

$8x + y = -23$

Explanation:

Step1: Solve the second equation for y

From \(8x + y = -23\), we get \(y = -23 - 8x\).

Step2: Substitute y into the first equation

Substitute \(y = -23 - 8x\) into \(-7x + 2y = 0\):
\[

$$\begin{align*} -7x + 2(-23 - 8x) &= 0\\ -7x - 46 - 16x &= 0\\ -23x - 46 &= 0\\ -23x &= 46\\ x &= -2 \end{align*}$$

\]

Step3: Substitute x back to find y

Substitute \(x = -2\) into \(y = -23 - 8x\):
\[

$$\begin{align*} y &= -23 - 8(-2)\\ y &= -23 + 16\\ y &= -7 \end{align*}$$

\]

Answer:

The solution is \(x = -2\) and \(y = -7\)