Question

solve.
9x - 2y = -7
-8x + y = 7
( , )
submit

Explanation:

Step1: Solve the second equation for y

From \(-8x + y = 7\), we can express \(y\) as \(y = 8x + 7\).

Step2: Substitute y into the first equation

Substitute \(y = 8x + 7\) into \(9x - 2y = -7\):
\[

$$\begin{align*} 9x - 2(8x + 7) &= -7\\ 9x - 16x - 14 &= -7\\ -7x - 14 &= -7 \end{align*}$$

\]

Step3: Solve for x

Add 14 to both sides:
\[

$$\begin{align*} -7x - 14 + 14 &= -7 + 14\\ -7x &= 7 \end{align*}$$

\]
Divide both sides by -7:
\[
x = -1
\]

Step4: Substitute x back into y = 8x + 7

\[

$$\begin{align*} y &= 8(-1) + 7\\ y &= -8 + 7\\ y &= -1 \end{align*}$$

\]

Answer:

\((-1, -1)\)