Question

Given that the value of b can never equal to -1 determine if the equation are intersecting , parallel , or coincident

Answer 1

Answer:

The equations are intersecting lines

Step-by-step explanation:

The given equations are:

$x + y = ab \\ bx - y = a$

Add both equations:

$x + bx = ab + a$

Factor

$x(1 + b) = a(1 + b)$

Since b≠-1, we can 1+b is different from zero.

This means that:

$x = \frac{a(1 + b)}{1 + b}$

$x = a$

From equation 1,

$y = ab - x$

$y = ab - a$

The two equations intersect at:

(a,ab-a)