Solve the following pair of linear equations by substitution method:
7x— 15y = 2
x + 2y = 3
Given equations are
7x – 15y = 2 …(i)
x + 2y = 3 …(ii)
From eqn (ii), x = 3 – 2y …(iii)
On substituting x = 3 – 2y in eqn (i), we get
⇒ 7(3 – 2y) – 15y = 2
⇒ 21 – 14y – 15y = 2
⇒ 21 – 29y = 2
⇒ – 29y = – 19
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Now, on putting
in eqn (iii), we get
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Thus,
and
is the required solution.
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