Question

How to solve an equation?

Answer 1

Methods of solving an equation:

We have $4$ ways of solving one-step equations: Adding, Subtracting, multiplication, and division.

Case 1: If we add the same number to both sides of an equation, both sides will remain equal.

$\Rightarrow x=y$: Therefore, $x+z=y+z$

Case 2: If we subtract the same number from both sides of an equation, both sides will remain equal.

$\Rightarrow x=y$: Therefore, $x-z=y-z$

Case 3: If we divide both sides of an equation by the same number, both sides will remain equal.

$\Rightarrow x=y$: Therefore, $\frac{x}{z}=\frac{y}{z}$

Case 4: If we multiply both sides of an equation by the same number, both sides will remain equal.

$\Rightarrow x=y$: Therefore, $x\times z=y\times z$

Hence, explained ways to solve an equation.