The five equivalent equations for the given equation are as follows:
1) -6 + 6x = -6; multiplied by 2
2) -1 + x = -1; divided by 3
3) 1 + 3x = 1; added by 4
4) -8 + 3x = -8; subtracted by 5
5) 1 - x = 1; taking -3 as common
The equations that have the same solution are called equivalent equations.
The given equation is - 3 + 3x = - 3
1) Multiplying with 2:
2(- 3 + 3x) = 2 × - 3
⇒ -6 + 6x = -6
2) Dividing with 3:
- 3/3 + 3x/3 = - 3/3
⇒ -1 + 3x = -1
3) Adding 4 on both sides:
- 3 + 3x + 4 = - 3 + 4
⇒ 1 + 3x = 1
4) Subtracting 5 from both sides:
- 3 + 3x -5 = - 3 -5
⇒ -8 + 3x = -8
5) Taking -3 common:
- 3 + 3x = - 3
⇒ -3(1 - x) = -3
⇒ 1 - x = 1
Therefore, the required 5 equivalent equations are framed.
Learn more about equivalent equations here:
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