Question

3. It is given that the simultaneous linear equations px + 4y = 10 and qx - 2y = 1 have no solution. Express p in terms of q.

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Answer 1

p = -2q

Explanation:

Given

There is no solution.

1. Slopes are equal

• px + 4y = 10
• 4y = -px + 10
• y = -p/4 + 5/2

• qx - 2y = 1
• 2y = qx - 1
• y = q/2 - 1/2

Equating the slopes

• -p/4 = q/2
• -p = 2q
• p = -2q