Question

1. $-x + y = -2$

$2x - y = 6$

Explanation:

Step1: Add the two equations

We have the system of equations:
$$-x + y = -2$$
$$2x - y = 6$$
Adding them together: \((-x + y)+(2x - y)=-2 + 6\)
Simplify: \(-x+2x+y - y=4\), so \(x = 4\)

Step2: Substitute x into first equation

Substitute \(x = 4\) into \(-x + y=-2\):
\(-4 + y=-2\)
Add 4 to both sides: \(y=-2 + 4=2\)

Answer:

The solution to the system of equations \(

$$\begin{cases}-x + y=-2\\2x - y = 6\end{cases}$$

\) is \(x = 4\), \(y = 2\) or the ordered pair \((4,2)\)