For each ordered pair, determine whether it is a solution to the system of equations.
\[
\left\{\begin{array}{c}
2 x-3 y=-8 \\
y=7 x+9
\end{array}\right.
\]

Answer

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Answer

So, the solution to the system of equations is \(\boxed{(-1, 2)}\).

Steps

Step 1 ：Let's start by substituting the second equation into the first. This gives us: \(2x - 3(7x + 9) = -8\).

Step 2 ：Simplify the equation to get: \(-19x - 27 = -8\).

Step 3 ：Solving for x, we get: \(x = -1\).

Step 4 ：Substitute \(x = -1\) into the second equation: \(y = 7(-1) + 9\).

Step 5 ：Solving for y, we get: \(y = 2\).

Step 6 ：So, the solution to the system of equations is \(\boxed{(-1, 2)}\).