Solve the equation

Question

0.25r - 0.125 + 0.5r = 0.5 + r

Answer 1

Atianab

 

0.25r - 0.125r + 0.5r = 0.5 + r

 

Let's first combing the r-terms on the left side of the equation.

 

0.625r = 0.5 + r

 

Subtract r from both sides

 

-0.375r = 0.5

 

r = 4/3 = 1.333...

Answer 2

Two approaches could be taken.  The first involves multiplying each term by 1000 to eliminate decimals:

250r -125r + 500r = 500 +1000r

625r = 500 + 1000r

-500 = 375r    [after subracting 625r from each side and then subtracting 500 from each side]

 

r = -500 / 375 which you can reduce to lowest terms or use calculator to give answer in decimal.

THIS METHOD IS CALLED CLEARING DECIMALS.

 

The other method is to just combine like terms; it will necessitate adding decimal coefficients:

0.625r = 0.5 + 1.000r

0 = 0.5 + 0.375r

-0.5 = .375r

r = -.5 / .375 = -500 / 375 = etc.