1.

Solve the equation ax + b = 0, Where a and b are rationals and a is not 0​

Answer»

Solution:

Required answer:

x = - b/a is the solution of the given equation.

Given Information:

Solve the equation ax + b = 0, Where a and b are rationals and a is not 0.

Explanation:

We have ax + b = 0, where a and b are rationals and a ≠ 0.

Transporting b to R.H.S. , We get

ax = -b

Since, a ≠ 0, we DIVIDE both SIDES by 'a'

\longrightarrow \sf {\dfrac{ax}{a} = - \dfrac{b}{a}} \\\\

\longrightarrow \sf {x = - \dfrac{b}{a}}\\\\

So,

x = - b/a is the solution of the given equation.

Note:

In the above question, the linear equations to be solved are REDUCED to the form ax + b = 0 to find the solution. So, the GENERAL solution of an equation ax + b = 0

Where a, b are rationals and a ≠ 0 is given by x = - b/a


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