Question

1. \

$$\begin{cases} -x + y = 0 \\\\ 2x - 5y = 9 \\end{cases}$$

Explanation:

Step1: Solve the first equation for x

From \(-x + y = 0\), we can rewrite it as \(x = y\).

Step2: Substitute x into the second equation

Substitute \(x = y\) into \(2x - 5y = 9\). We get \(2y - 5y = 9\).

Step3: Simplify the equation

Simplify \(2y - 5y = 9\) to \(-3y = 9\).

Step4: Solve for y

Divide both sides by \(-3\): \(y=\frac{9}{-3}=-3\).

Step5: Find x using x = y

Since \(x = y\), then \(x=-3\).

Answer:

\(x = -3\), \(y = -3\)