Based on the lesson, identify the first operation needed to solve the following equation. x/11 - 2 = 3 multiplication subtraction addition division

Respuesta :

The number 2 should be added to both sides of the given linear

equation to enable the variable x be made the subject of the equation.

Response:

  • The first operation that needed to solve the equation is; Addition

Which sequence of steps are needed to solve the given equation?

The given equation is presented as follows;

[tex]\mathbf{\dfrac{x}{11} - 2} = 3[/tex]

The solution of the above equation van be found by making x the

subject of the equation.

Removing the 2 from the left hand side of the equation will isolate the [tex]\dfrac{x}{11}[/tex]

, from which the value of x can be found by multiplying by 11.

First operation;

To remove the 2, we have;

  • 2 - 2 = -2 + 2 = 0, adding 2 to both sides of the equation gives;

[tex]\dfrac{x}{11} - 2 \mathbf{+ 2 }= 3 + 2[/tex]

[tex]\dfrac{x}{11} + 0 = 3 + 2 = 5[/tex]

[tex]\dfrac{x}{11} = 5[/tex]

Second operation;

[tex]\dfrac{x}{11} \times 11 = 5 \times 11 = 55[/tex]

x = 55

The first operation that needs to be needed to solve the given equation

is therefore;

  • Addition

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