Solve the following system of linear equations by cross - multiplication method.


[Hint: Let u =
and v =
]
Given, pair of equations is
…(1)
…(2)
Let u
and v ![]()
Now, the Eq. (1) and (2) reduces to
5u + 2v + 1 = 0
15u + 7v – 10 = 0
By cross - multiplication method, we have

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On taking I and III ratio, we get
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On taking II and III ratio, we get
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⇒ v = 13
So, u
…(a)
and v
…(b)
On adding Eq. (a) and (b), we get
![]()
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![]()
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On putting the value of
in Eq. (a), we get
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