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How do you solve #3r - 5= 2( 4r - 9)#?

Answer 1

Eli Assouline

#r=2.6#

#3r-5=2(4r-9)#

Expand the brackets.

#3r-5=8r-18#

Move all r variables to one side.

#-5=5r-18#

Add 18 in order to find what #5r# equals.

#13=5r#

Now divide by 5 to find the value of #r#.

#r=2.6#

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Answer 2

Kennedy Adams

To solve the equation (3r - 5 = 2(4r - 9)), follow these steps:

Distribute the (2) on the right side of the equation: [3r - 5 = 8r - 18]
Move all (r)-terms to one side of the equation and constant terms to the other side: [3r - 8r = -18 + 5]
Combine like terms: [-5r = -13]
Divide both sides by (-5) to solve for (r): [r = \frac{-13}{-5}]
Simplify the fraction if possible: [r = \frac{13}{5}]

So, the solution to the equation (3r - 5 = 2(4r - 9)) is (r = \frac{13}{5}).

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.