Question

solve by graphing.
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$$\begin{cases} y = 3x - 5 y = -x + 7 \\end{cases}$$

(?, \square )

Explanation:

Step1: Set the equations equal

Since both equal \( y \), set \( 3x - 5 = -x + 7 \).

Step2: Solve for \( x \)

Add \( x \) to both sides: \( 4x - 5 = 7 \).
Add 5 to both sides: \( 4x = 12 \).
Divide by 4: \( x = 3 \).

Step3: Find \( y \)

Substitute \( x = 3 \) into \( y = -x + 7 \): \( y = -3 + 7 = 4 \).

Answer:

\((3, 4)\)