Question

Solving Equations with the Variable on Each Side · Practice

Answer 1

Answer:

b = -2

Step-by-step explanation:

When an equation such as this one has the variable on both sides, a first step towards solution should be to group together all terms containing that variable.

Given

  b - 4            b

------------ = ----------

      6             2

we can make this task easier by rewriting the equation with the LCD (which happens to be 6):

  b - 4       3b

 --------- = --------

      6          6

which simplifies to b - 4 = 3b.

Next we need to regroup the b terms:  subtracting b from both sides results in -4 = 2b.

Finally, isolate b (solve for b) by dividing both sides by 2:

-2 = b, or b = -2

Answer 2

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