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Pair of Linear Equations in Two Variables

Short Answer Type

151.

Solve the following pair of linear equations:

px + qy = p - q
qx - py = p + q

163 Views

Long Answer Type

152.
Solve the following pair of linear equations:
ax + by = c
bx + ay = 1 + c

We have,
ax + by = c ...(i)
bx + ay = 1 + c ...(ii)
From (i), we have

$straight x equals fraction numerator straight c minus by over denominator straight a end fraction space space space space space space... left parenthesis iii right parenthesis$
Putting the value of (iii) in (ii), we get
We have,ax + by = c ...(i)bx + ay = 1 + c ...(ii)From (i)
Putting the value of ‘y’ in (iii), we get

Hence, the solution is

$straight x space equals space fraction numerator ac minus straight b minus bc over denominator straight a squared minus straight b squared end fraction and space space straight y space equals space fraction numerator straight a plus ac minus bc over denominator straight a squared minus straight b squared end fraction$

195 Views

153.

straight x over straight a minus straight y over straight b equals 0 ax plus by equals straight a squared plus straight b squared

150 Views

Short Answer Type

154.

Solve the following pair of linear equations:

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