Solve/Identify each equation as a conditional equation, an inconsistent equation, or an identi?

Question

Solve each equation. Identify each equation as a conditional equation, an inconsistent equation, or an identity.

½ b - ½ = 1/4b

Answer 1

Conditional.

An identity is solved by all values, like 1-x=2-(1+x) which is true for every single number x.

An inconsistent equation is solved by no values of x, like x=x+1, this is never true, no matter what x is.

A conditional equation is true, depending on what value the variable is. So it is true some of the times (you solve to find these values) and not true other times.

Your equation is true only for b=2, so it is conditional: sometimes true (when b=2) and sometimes false (when b is any other value, other than 2).

Answer 2

3-3(5-x)=0 3-15+3x=0 3x=12 x=4 subsequently , once you remedy the given equation you get actually one fee for x.subsequently this equation is a conditional equation. It won't be able to be an identification because this is not authentic for all values of x. This equation won't be able to be an inconsistent equation because it has one answer.

Answer 3

I can't tell if your b is in the numerator or denominator.

(1/2)*b - 1/2 = (1/4)*b
(1/4)*b = 1/2
b = 2

OR
1/(2b) -1/2 = 1/(4b)
Multiply each term by 4b
2 - 4b/2 = 1
3 = 4b/2
6 = 4b
1.5 = b

Answer 4

1/2b - 1/4b = 1/2
1/4b = 1/2 : 1/4
b = 1/2*4
b = 2
Consistent.
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