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20-04-2022
Mathematics

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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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20-04-2022

Answer:

p = -2q

Step-by-step explanation:

Given

There is no solution.

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

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