x+y+z=1\color{#984ea2}{x + y + z = 1}x+y+z=1 x+y−z=0\color{#4daf4a}{x \phantom{+} \phantom{y} - z = 0}x+y−z=0
(x,y,z)=(t,1−2t,t)=(0.00,1.00,0.00)(x, y, z) = (t, 1-2t, t) = \color{#e31a1b}{({0.00},\, {1.00},\, {0.00})}(x,y,z)=(t,1−2t,t)=(0.00,1.00,0.00)