2 2. If r + s = t and x = y, then the true statement is
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Step-by-step explanation:
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C) r + s + x = t + y
Step-by-step explanation:
Given options are
A) r + s - x = y - t
B) r + s - t = x + y
C) r + s + x = t + y
D) r + s + t = x - y
Verifying each option we can get the answer
A) r + s - x = y - t
If we subtract the given equations,
r + s - x = t - y ---(1)--- This is not the correct option.
B) r + s - t = x + y
From (1), r + s - x = t - y
r + s - t = x - y Since, this doesn't match the option its incorrect.
C) r + s + x = t + y
Adding two equation gives,
r + s + x = t + y
As, this matches option C it is correct answer.
D) r + s + t = x - y
This is also incorrect because we can see through the given equation that r + s + t is not possible.
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