Question 17

Which of the following numbers satisfy the equation -6 + x = -12?

(a) 2
(b) 6
(c) -6
(d) -2

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Solution

Let us put the values given in the options in equation -6 + x = -12

(a) Put x = 2
$\Rightarrow - 6 + 2 = - 12 \Rightarrow - 4 = - 12 ∴ L H S \neq R H S$

(b) Put x = 6
$\Rightarrow - 6 + 6 = - 12 \Rightarrow 0 = - 12 ∴ L H S \neq R H S$

(c) Put x = -6
$\Rightarrow - 6 + (- 6) = - 12 \Rightarrow - 6 - 6 = - 12 \Rightarrow - 12 = - 12 ∴ L H S = R H S (s a i t s f i e d)$

Now, there is no need to check the next option,
Hence, x = -6 satisfies the given equation.

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