Question

If x is eliminated from the equations x + b = 0 and x + c = 0 the relation becomes:

A. b / c + 1 = 0
B. b = c
C. b + c = 0
D. b c = 0

Answer 1

Answer:

Answer: B

Step-by-step explanation:

expression : x+b=0

x+c=0

after eliminating x ,

b=0

c=0

then, b=c

Hence Option B is the correct answer.

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Answer 2

Answer:

(B) b=c

Step-by-step explanation:

Given equations are:

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: x + b = 0$

and

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: x + c = 0$

Let

$x + b = 0...............(1) \\x + c = 0................(2)$

Eliminate x from the equation (1) and (2),

subtracting the equation (2) from equation (1)

$(x + b) - (x + c) = 0 \\ \: \: \: \: \: \: \: x + b - x - c = 0 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: b - c = 0 \: \: \: \: \: \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: b = c$

Therefore, b=c

Hence, the correct option is (B) b=c.