Question

at options animate 3 4 5 6 7 8 -28 -14 ② \\(-9x + 3y = 27\\) \\(-3x + 4y = 27\\)

Explanation:

Step1: Eliminate x variable

Multiply the second equation by -3:
$$-3(-3x + 4y) = -3(27)$$
$$9x - 12y = -81$$
Add this to the first equation:
$$(-9x + 3y) + (9x - 12y) = 27 + (-81)$$
$$-9y = -54$$

Step2: Solve for y

Divide both sides by -9:
$$y = \frac{-54}{-9} = 6$$

Step3: Substitute y into second equation

Substitute $y=6$ into $-3x + 4y = 27$:
$$-3x + 4(6) = 27$$
$$-3x + 24 = 27$$

Step4: Solve for x

Subtract 24 from both sides, then divide by -3:
$$-3x = 27 - 24 = 3$$
$$x = \frac{3}{-3} = -1$$

Answer:

$x=-1$, $y=6$