Question

For which value of p and q does the following pair of linear equations have an infinite

number of solutions?

2x + 3y = 7

( p-q ) x + (p+q) y = 3 p + q -2

Answer 1

Explanation:

Given

Required

Find p and q

To do this, we make direct comparison between the given expressions.

and

This implies that:

So, we have:

--- (1)

-- (2)

--- (3)

If
are true, then
be true.

So, we only solve

Add (1) and (2) to eliminate q

Solve for p

Substitute
in (2)