Question

question 10
-x - 7y = 14
-4x - 14y = 28
type your answer in the form (x, y)

Explanation:

Step1: Eliminate x variable

Multiply first equation by 4:
$$4(-x - 7y) = 4(14) \implies -4x - 28y = 56$$
Subtract second equation from this new equation:
$$(-4x - 28y) - (-4x - 14y) = 56 - 28$$
$$-4x -28y +4x +14y = 28$$
$$-14y = 28$$

Step2: Solve for y

Divide both sides by -14:
$$y = \frac{28}{-14} = -2$$

Step3: Substitute y into first equation

Plug $y=-2$ into $-x -7y=14$:
$$-x -7(-2) = 14$$
$$-x +14 = 14$$

Step4: Solve for x

Subtract 14 from both sides:
$$-x = 14 -14 = 0$$
Multiply by -1:
$$x = 0$$

Answer:

$(0, -2)$