How can the following be justified:
If 4x + 6 = 20 then 4x = 14
If 2x + 4 = y and y = 3x - 6, then 2x + 4 = 3x - 6
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It is given that 4x + 6 = 20
Subtract 6 from both the sides
4x + 6 - 6 = 20 - 6
=> 4x = 14
The property used here is the addition property of equality: if a = b, a - c = b - c for all values of a, b and c.
It is given that 2x + 4 = y and y = 3x - 6
As 2x + 4 = y = 3x - 6, 2x + 4 = 3x - 6
The property used here is the transitive property of equality: if a = b and b = c, then a = c.
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