5. In equation ax + b = 0, the value of x is:
Answers
The equation is an algebraic equation and it contains only one variable. The variable is x. The variable acts as a constant. So we solve for the variable x.
Consider given equation
⇒ax+b=0
⇒ax+b=0
Where x is the variable a is the coefficient of x and b is the constant term
Rearrange the equation by subtracting b from both sides of the equation, then
⇒ax+b−b=0−b
⇒ax+b−b=0−b
On subtracting we get
⇒ax+0=−b
⇒ax+0=−b
So it is written as
⇒ax=−b
⇒ax=−b
To solve the above equation for x, divide both side by a, then
⇒axa=−ba
⇒axa=−ba
On rewriting we have
⇒aa.x=−ba
⇒aa.x=−ba
As we know the value of aa
aa
is 1
∴x=−ba
∴x=−ba
Hence, by solving the value of variable x in the linear equation ax+b=0
ax+b=0
is −ba
−ba
.
Hence we have solved for x and obtained the solution.
Therefore x=−ba
x=−ba
So, the correct answer is “ x=−ba
x=−ba
”.
Answer:
x = -ba.