Question

solve.
9x + 5y = -16
-x + 3y = 16
(□, □)
submit

Explanation:

Step1: Solve the second equation for x

From \(-x + 3y = 16\), we can rewrite it as \(x = 3y - 16\).

Step2: Substitute x into the first equation

Substitute \(x = 3y - 16\) into \(9x + 5y = -16\):
\[

$$\begin{align*} 9(3y - 16) + 5y &= -16\\ 27y - 144 + 5y &= -16\\ 32y - 144 &= -16\\ 32y &= -16 + 144\\ 32y &= 128\\ y &= \frac{128}{32}\\ y &= 4 \end{align*}$$

\]

Step3: Substitute y back to find x

Substitute \(y = 4\) into \(x = 3y - 16\):
\(x = 3\times4 - 16 = 12 - 16 = -4\)

Answer:

\((-4, 4)\)