Determine the vertices of the triangle formed by the lines representing the equations:
$x + y = 5, x - y = 5$ and $x = 0$ .

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Solution

lines: $x + y = 5 . . . . (1)$
$x - y = 5 . . . . (2)$
$x + 0 = 0 . . . . (3)$
Since lines meet to form $△ ∴$
Solve for pt of intersection
b/w $(1)$ and $(2)$ $2 x = 10, \Rightarrow x = 5$
$\Rightarrow y = 5$ i.e $(5, 0)$
b/w $(2)$ and $(3)$ $x = 0 \Rightarrow y = - 5$ i.e $(0, - 5)$
b/w $(3)$ and $(4)$ $x = 0 \Rightarrow y = 5$ i.e $(0, 5)$
$△$ triangle formed $(a)$

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Determine the vertices of the triangle formed by the lines representing the equations:x+y=5,x−y=5 and x=0.

lines: x+y=5....(1)x−y=5....(2)x+0=0....(3)Since lines meet to form △∴Solve for pt of intersectionb/w (1) and (2) 2x=10,⇒x=5⇒y=5 i.e (5,0)b/w (2) and (3) x=0⇒y=−5 i.e (0,−5)b/w (3) and (4) x=0⇒y=5 i.e (0,5)△ triangle formed (a)

Determine the vertices of the triangle formed by the lines representing the equations:
$x + y = 5, x - y = 5$ and $x = 0$ .