Equations of condition


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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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