Find where the two lines y=2x−1y = 2x - 1y=2x−1 and y=−x+5y = -x + 5y=−x+5 meet. At the meeting point the two yyy values are equal, so 2x−1=−x+52x - 1 = -x + 52x−1=−x+5. This gives 3x=63x = 63x=6, that is x=2x = 2x=2. Substituting back, y=2⋅2−1=3y = 2 \cdot 2 - 1 = 3y=2⋅2−1=3. So the intersection is (2,3)(2, 3)(2,3), marked by the large dot on the graph.