Question

Pls help!:) The line x+y=10 intersects the line y=x, the x-axis and the y-axis at the points A, B, C respectively. Find the coordinates of A, B & C

Answer 1

(10,0),(0,10).(5,5)

Answer 2

for a, b, and c

Answer 3

Coordinates of A:
\[2x = 10 \rightarrow x=5\]
Sub x=5 into x+y=10 (or y=x) to get y=5, so A is (5,5).
Coordinates of B:
\[x+0=10 \rightarrow x=10\]
Sub x=10 into x+y=10 giving y=0, hence B is (10,0)
Coordinates of C:
\[0+y=10 \rightarrow y=10\]
sub y=10 into x+y=10 giving x=0, hence C is (0,10)