2. When 9 is added to the number that is produced by tripling the number x, the result is
equal to 6 times the number that is 3 less than x. Write an equation to represent the
situation and use it to find the value of x.

Respuesta :

The equation that represents the situation is:

9 + 3x  =  6(x  -  3)

The value of x is x = 9

Word problem on linear equation

Let the number be represented by x

Triple the number = 3x

9 added to the number that is produced by tripling the number x = 9 + 3x

3 less than x  = x - 3

6 times the number that is 3 less than x = 6(x - 3)

Therefore, the equation that illustrates the situation is:

9 + 3x  =  6(x  -  3)

Solve for x in the equation above

9 + 3x = 6x  -  18

6x  -  3x  =  9  +  18

3x   =  27

Divide both sides by 3

3x/3  =  27/3

x  =  9

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