Question

Show that the pair of equation 2x-3y=6, x+y=6, x+y=1 has a unique solution.

Answer 1

heya..

y = 1/3(6-2x) ,,slope is -2/3----@@1)

y=6-x. ,,,, slope -1------------@2)

y=1-x ,, slope -1----------@3)

slopes of 1, 2 are different..

sloes of 1,3 are also different... this it means these are unique solutions