Choice C is the correct answer. To find the intersection, we set the two expressions for $y$ equal to each other.

Step 1: Set the equations equal: $-x + 8 = 2x - 1$

Step 2: Solve for $x$: $8 + 1 = 2x + x$$9 = 3x$$x = 3$

Step 3: Find $y$ using either equation (using the first): $y = -3 + 8 = 5$

Solution: $(3, 5)$

Verification: $5 = 2(3) - 1 = 6 - 1 = 5$ ✓

💡 Strategic Tip: The intersection point satisfies both equations simultaneously.

Choice A is incorrect because$7 = -4 + 8 = 4$ .

Choice B is incorrect because$3 = -2 + 8 = 6 \ eq 3$.

Choice D is incorrect because$7 = -1 + 8 = 7$ ✓, but $7 \ eq 2(1) - 1 = 1$.