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Question
The equation given below is followed by the value of the variable. Decide whether this value is the solution to that equation.
2a + 4 = 0, a = 2, −2, 1
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Solution
2a + 4 = 0 ...(i)
Substituting a = 2 in L.H.S. of equation (i),
L.H.S. = 2 (2) + 4
= 4 + 4
= 8
R.H.S. = 0
∴ L.H.S. ≠ R.H.S.
∴ a = 2 is not the solution of the given equation.
Substituting a = – 2 in L.H.S. of equation (i),
L.H.S. = 2 (–2) + 4
= – 4 + 4
= 0
R.H.S. = 0
∴L.H.S. = R.H.S.
∴ a = – 2 is the solution of the given equation.
Substituting a = 1 in L.H.S. of equation (i),
L.H.S. = 2(1) + 4
= 2 + 4
= 6
R.H.S. = 0
∴ L.H.S. ≠ R.H.S.
∴ a = 1 is not the solution of the given equation.
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