Linear equations in two variables


   
 
Equations of condition
 
Study the following equations:
 
a) 4x + 2 = 14
 
b) x - 7 = 5 - 2x
 
c) 3a - 8 = a + 12
 
The equation 4x + 2 = 14 is true only when x = 3,
 
Similarly, x - 7 = 5 - 2x is true only when x = 4, and
 
3a - 8 = a + 23 is true only when a = 10.
 
The two expressions (LHS and RHS) are equal only for a particular value of the variable (x). These equations are called equations of condition. An equation of condition is generally referred to as an equation.
 
 
     
   
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