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What are the forms of linear equations corresponding to the four arithmetical operations ?

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colorcolour | Student, College Freshman | eNoter

Posted March 18, 2011 at 11:48 PM via web

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What are the forms of linear equations corresponding to the four arithmetical operations ?

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giorgiana1976 | College Teacher | Valedictorian

Posted March 18, 2011 at 11:55 PM (Answer #1)

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The 4 basic arithmetical operations are: addition, subtraction, multiplication and division.

If we'll solve any linear equation, we'll fall into one from the 4 forms.

For instance:

1) If x + a = b, then we'll subtract a both sides, to isolate x to the left side:

x = b - a

So, if a number is added to the variable, to the left side of the equation, then it will be subtracted to the other side.

2) If x - a = b, then we'll add a both sides, to isolate x to the left side:

x = b + a

So, if a number is subtracted from the variable, to the left side of the equation, then it will be subtracted to the other side.

3) If ax = b, then we'll divide both sides by a.

x = b/a

4) If x/a = b, then we'll multiply both sides by a:

x = b*a

The 4 forms of linear equation, corresponding to the four arithmetical operations, are: x-a=b ; x+a=b ; a*x=b ; x/a = b.

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