Question

(-7x + 6y = -1)
-7x - 3y = -10

Explanation:

Step1: Subtract the two equations

$$(-7x + 6y) - (-7x - 3y) = -1 - (-10)$$

Step2: Simplify to solve for $y$

$$-7x + 6y +7x +3y = -1 +10$$
$$9y = 9$$
$$y = \frac{9}{9} = 1$$

Step3: Substitute $y=1$ into second equation

$$-7x - 3(1) = -10$$

Step4: Solve the equation for $x$

$$-7x -3 = -10$$
$$-7x = -10 + 3$$
$$-7x = -7$$
$$x = \frac{-7}{-7} = 1$$

Answer:

$x=1$, $y=1$