Questions: Solve. x-2 y=10 y=x. Enter your answer as an ordered pair in the form (x, y). Remember to include the parentheses and the comma.

Solution Steps

To solve the system of equations, we can use substitution. Since the second equation is \( y = x \), we can substitute \( x \) for \( y \) in the first equation. This will allow us to solve for \( x \). Once we have the value of \( x \), we can substitute it back into the equation \( y = x \) to find the value of \( y \).

We start with the system of equations: \[ \begin{cases} x - 2y = 10 \\ y = x \end{cases} \] Substituting \( y = x \) into the first equation gives: \[ x - 2(x) = 10 \]

Simplifying the equation: \[ x - 2x = 10 \implies -x = 10 \implies x = -10 \]

Now that we have \( x \), we can find \( y \) using the equation \( y = x \): \[ y = -10 \]

Final Answer