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How do you solve #8p - 4p - ( p - 7) + 9p + 6= 12p#?

Answer 1

Avery Alexander

This equation has no solution.

Begin by distributing the understood #-1#:

#8p - 4p -(p - 7) + 9p + 6 = 12p# #8p - 4p - p + 7 + 9p + 6 = 12p#

Now simplify the left side of the equation by combining like terms:

#12p + 13 = 12p#

Now subtract #12p# from both sides of the equation, in an attempt to get the variable terms together:

#12p - 12p + 13 = 12p - 12p# #13 = 0#

However, the variable terms were completely eliminated, and #13# is never equal to #0#, so

#13 != 0#

is the result. This means that this equation has no solution.

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Answer 2

Eva Adamson

To solve the equation (8p - 4p - (p - 7) + 9p + 6 = 12p), follow these steps:

Combine like terms on both sides of the equation.
Simplify the expression.
Solve for (p).

[8p - 4p - (p - 7) + 9p + 6 = 12p]

Combine like terms:

[8p - 4p - p + 7 + 9p + 6 = 12p]

[8p - 4p - p + 9p - 12p + 7 + 6 = 0]

[2p + 13 = 0]

Subtract 13 from both sides:

[2p = -13]

Divide both sides by 2:

[p = \frac{-13}{2}]

Thus, the solution to the equation is (p = \frac{-13}{2}).

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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.