Question

How do you solve \[3.65+e=-1.4\]?

Answer 1

Hint: The given equation has only one variable term e to its left side along with the constant \[3.65\]. It also has \[-1.4\] to its right side. As this equation has only one variable term, we just have to take the constant term \[3.65\] to the right side and subtract it from the term \[-1.4\]. This way we will find the solution value for the variable e.

Complete step by step solution:
We are given the equation \[3.65+e=-1.4\], we have to solve it. The highest power of the variable of the equation is 1, so the degree of the equation is also one. Hence, it is a linear equation. As we know to solve a linear equation, we have to take all the variable terms to one side of the equation and leave constants to the other side.
\[3.65+e=-1.4\]
As, the LHS has only one constant term, to take it to the other side. Subtracting 3.65 from both sides of the equation, we get
\[\Rightarrow e=-1.4-3.65\]
Simplifying the RHS, we get
\[\Rightarrow e=-5.05\]
Hence, the solution of the given equation is \[e=-5.05\].

Note: This equation has only one variable term to its one side. A general linear equation in one variable can have more than one variable term. In this case, we need to take all the variable terms to one side, and constant terms to the other side. Then, after performing some mathematical operations on both variables and constants, we can find the solution value for the variable.