DISCUSS: Proof That 0 = 1? The following steps appear to give equivalent equations, which seem to prove that 1 = 0. Find the error.

Given 

Multiply by


Subtract


Factor 

Divide by


Given

To find:
To find the error from the following steps appear to give equivalent equations, which seem to prove that
Given  
Multiply by 

Subtract 

Factor  
Divide by 

Given 
Approach:
Simplest type of equation is called a linear equation or first degree equation (power of
We solve the equations by changing it to an equivalent equation with all variables on one side and all constants on the other side.
Ex:
Here
Two equations with exactly same solution are called equivalent equations.
Properties of equality
a) 
Adding the same quantity to both sides of an equation gives an equivalent equation. 
b) 
Multiplying both sides of an equation by the same non zero value gives an equivalent equation 
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