QuestionSolve the system by using Gaussian elimination or Gauss-Jordan elimination. $$\begin{aligned} -3(x-3 y) & =-10-y \\ 10 y & =-2 x-10 \end{aligned}$$
The solution set is $\square$ $\square$ 1)\}.

Studdy Solution
Verify the solution by substituting back into the original equations:
1. First equation:
$-3(0 - 3(-1)) = -10 - (-1)$
Simplify:
$-3(3) = -9 \quad \text{and} \quad -10 + 1 = -9$
Both sides are equal.
2. Second equation:
$10(-1) = -2(0) - 10$
Simplify:
$-10 = -10$
Both sides are equal.
The solution is verified.
The solution set is $(0, -1)$.