solve the system of equations.\n$-10y + 9x = -9$\n$10y + 5x = -5$\n$x = square$\n$y = square$

Explanation:

Step1: Add the two equations

$$(-10y + 9x) + (10y + 5x) = -9 + (-5)$$ Simplify: $14x = -14$

Step2: Solve for $x$

$$x = \frac{-14}{14} = -1$$

Step3: Substitute $x=-1$ into second equation

$$10y + 5(-1) = -5$$ Simplify: $10y - 5 = -5$

Step4: Solve for $y$

$$10y = -5 + 5 = 0$$ $$y = \frac{0}{10} = 0$$

Answer:

$x = -1$ $y = 0$