(-3) + [ -1 + (-7) ] = -3 + ___ = ____
Answers
Answer:
Answer:
The value of the blank spaces is -8 and -11 respectively.
Step-by-step explanation:
Assumption,
Let the value of one of the blank be 'x' and that of another be 'y'.
Given,
-3 + [-1 + (-7)] = -3 + x = y
To find,
The values of 'x' and 'y'
Calculation,
-3 + [-1 + (-7)] = -3 + x = y
Here if we find the value of 'x' then automatically the value of 'y' is known.
So, first, we find the value of 'x'
-3 + [-1 + (-7)] = -3 + x
Now, considering L.H.S
L.H.S = -3 + [-1 + (-7)]
L.H.S = -3 + [-1 -7] (As when (+) is multiplied to (-) we get (-))
L.H.S = -3 + [-8]
L.H.S = -3 -8 (As when (+) is multiplied to (-) we get (-))
L.H.S = -11
Now, equating L.H.S and R.H.S we get:
-11 = -3 + x
⇒ -11 + 3 = x (Transposed -3 from R.H.S to L.H.S to become +3)
⇒ x = -8
Hence,
As -3 + x = y
⇒ -3 + (-8) = y
⇒ y = -3 -8 (As when (+) is multiplied to (-) we get (-))
⇒ y = -11
Therefore, the value of the blank spaces 'x' and 'y' are -8 and -11 respectively.
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