Question

solve the system by substitution.\
\\(-2x - 4y = -18\\)\
\\(x = y\\)

Explanation:

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

We have the first equation \(-2x - 4y = -18\) and \(x = y\). Substitute \(x\) with \(y\) in the first equation, so we get \(-2y - 4y = -18\).

Step2: Combine like terms

Combine the \(y\) terms: \(-2y - 4y = -6y\), so the equation becomes \(-6y = -18\).

Step3: Solve for \(y\)

Divide both sides of the equation \(-6y = -18\) by \(-6\): \(y=\frac{-18}{-6}=3\).

Step4: Find the value of \(x\)

Since \(x = y\), and we found \(y = 3\), then \(x = 3\).

Answer:

The solution to the system is \(x = 3\), \(y = 3\)