Solve the following simultaneous equations
(1) 3a + 5b = 26; a + 5b = 22
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Your answer is given -::
Solution :-
3a + 5b = 26 ....................(1)
a + 5b = 22 ......................(2)
Subtracting (2) from (1), we get
3a + 5b = 26
a + 5b = 22
- - -
____________
2a = 4
____________
⇒ 2a = 4
⇒ a = 4/2
⇒ a = 2
Substituting the value of a = 2 in (2), we get.
a + 5b = 22
⇒ 2 + 5b = 22
⇒ 5b = 22 - 2
⇒ 5b = 20
⇒ b = 20/5
⇒ b = 4
So. the value of a is 2 and the value of b is 4
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