Problem

Solve the following graphically
\[
\begin{array}{c}
3 x-2 y=-6 \\
y=3
\end{array}
\]

Answer

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Answer

Find the point of intersection: \(\boxed{(-2, 3)}\)

Steps

Step 1 :Rewrite the first equation in terms of y: \(y = \frac{3x}{2} + 3\)

Step 2 :Substitute y = 3 into the equation: \(3 = \frac{3x}{2} + 3\)

Step 3 :Solve for x: \(x = -2\)

Step 4 :Find the point of intersection: \(\boxed{(-2, 3)}\)

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