Question

solve.
-6x - y = -8
8x + 4y = -16
(□, □)
submit

Explanation:

Step1: Solve the first equation for y

From \(-6x - y = -8\), we can rewrite it as \(y = -6x + 8\) by adding \(6x\) to both sides and multiplying both sides by \(-1\).

Step2: Substitute y into the second equation

Substitute \(y = -6x + 8\) into \(8x + 4y = -16\). So we have \(8x + 4(-6x + 8) = -16\).
Expand the equation: \(8x - 24x + 32 = -16\).
Combine like terms: \(-16x + 32 = -16\).
Subtract 32 from both sides: \(-16x = -16 - 32 = -48\).
Divide both sides by -16: \(x = \frac{-48}{-16} = 3\).

Step3: Find y using x = 3

Substitute \(x = 3\) into \(y = -6x + 8\). Then \(y = -6(3) + 8 = -18 + 8 = -10\).

Answer:

\((3, -10)\)