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Example : Solve the following system of equations by Substitution method:
2x + 3y = 10
x - 2y = 5

Solution: The given system of equations are
2x + 3y = 10 (i)
x - 2y = 5 (ii)
From (ii), we get,
x = 2y + 5 (iii)
Putting this value of x in (i), we get,
2(2y + 5) + 3y = 10.

7y = 10 - 10 = 0
y = 0
Putting y = 0 in (iii), we get,
x = 2 . 0 + 5
x = 5
Hence, the solution is
x = 5, y = 0

Example : Solve the following system of equations using the method of substitution:

Solution: The given system of equations is
(i)
(ii)
From Eq (i) ,

Substituting in Eq. (ii)

Putting this value of y in (ii), we get,

-2x + 36 = 43
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