Problem

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

Solution

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: \(\boxed{(-2, 3)}\)

From Solvely APP
Source: https://solvelyapp.com/problems/8401/

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