Find the point of intersection of the lines $y = 2x - 1$ and $y = -x + 5$.
A$(4, 1)$
B$(2, 3)$CORRECT
C$(-2, -5)$
D$(3, 2)$
JUPEBMathematicsCoordinate Geometry
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Why the answer is B, and why the others tempt you.
Equate the expressions for $y$: $2x - 1 = -x + 5$, so $3x = 6$ and $x = 2$. Then $y = 2(2) - 1 = 3$. The point $(3, 2)$ satisfies neither equation and comes from swapping the coordinates.
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