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Impossible Equations and Identities


  • Being , consider the following equation: 2. (6x - 4) = 3.(4x - 1).

Notice now your resolution:

2 . 6x - 2 . 4 = 3 . 4x - 3 . 1

12x - 8 = 12x - 3

12x - 12x = - 3 + 8

0 . x = 5

Since no number multiplied by zero equals 5, we say that the equation is impossible and therefore has no solution. Soon, V = Ø.

So an equation of the type ax + B = 0 it is impossible when and

  • Being , consider the following equation: 10 - 3x - 8 = 2 - 3x.

Note your resolution:

-3x + 3x = 2 - 10 + 8

0 . x = 0

Since every number multiplied by zero equals zero, we say that the equation has endless solutions. Equations of this type, where any value assigned to the variable makes the equation true, are called identities.

Next Contents: Two-Variable First Degree Equations