Question

The solution of the equation $\mathrm{ax}+\mathrm{b}=0$ is

• A. $\mathrm{x}=\frac{\mathrm{a}}{\mathrm{b}}$
• B. $\mathrm{x}=-\mathrm{b}$
• C. $\mathrm{x}=-\frac{\mathrm{b}}{\mathrm{a}}$
• D. $\mathrm{x}=\frac{\mathrm{b}}{\mathrm{a}}$

Answer 1

The correct option is C

$\mathrm{x}=-\frac{\mathrm{b}}{\mathrm{a}}$

The Correct option is (C)

The Explanation for the correct options:

$\mathrm{ax}+\mathrm{b}=0$

On solving the given equation by transferring the like terms

$\mathrm{ax}=-\mathrm{b}$

$\mathrm{x}=-\frac{\mathrm{b}}{\mathrm{a}}$

The Explanation for the incorrect options:

Option (A):

1. The given equation has plus signs in between the two variables so the arrived result is in negative value.
2. Reversed of the given equation has negative signs in between the two variables so the arrived result is in positive value.
3. Hence the incorrect option is (A)

Option (B):

1. The given equation has plus signs in between the two variables so the arrived result is in negative value.
2. Equation has negative signs in between the one variable so the arrived result is a negative value.
3. Hence the incorrect option is (B)

Option (D):

1. The given equation has plus signs in between the two variables so the arrived result is in negative value.
2. The given equation has negative signs in between the two variables so the arrived result is in positive value.
3. Hence the incorrect option is (D)

Hence The correct option is (C)