Question

Construct 5 equivalent equations for the equation - 3 + 3x = - 3 Describe which value you multiplied by for each equivalent equation

Answer 1

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

What are equivalent equations?

The equations that have the same solution are called equivalent equations.

Calculation:

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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