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3 years ago

Solve the equation -6p - 21 = 3p - 12

Mathematics

2 answers:

Fynjy0 [20]3 years ago

8 0

The soultion Is <span> p = -1</span>

elixir [45]3 years ago

3 0

1st combine like terms by moving all of the terms with p to one side, and all of the other terms to the other side.

-6p - 21 = 3p -12
-21+12=6p+3p
-9=9p

Divide out the coefficient from both sides

-9/9 = 9p/9

The final answer is
-1=p

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VMariaS [17]

Answer:

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Step-by-step explanation:

We use casework on when $3x-9=12$ and when $3x-9=-12$ .

For the first case, $3x-9=12$ , we add 9 to both sides to get

$3x=21$ .

Dividing both sides by 3 gives

$x=7.$

For the second case, $3x-9=-12$ , we add 9 to both sides to get

$3x=-3$ .

Dividing both sides by 3 gives

$x=-1$ .

Checking both cases, we plug in $x=7$ and $x=-1$ .

For the first case, we have $|3(7)-9|=|21-9|=|12|=12$ , which satisfies the equation.

For the second case, we have $|3(-1)-9|=|-3-9|=|-12|=12$ , which also satisfies the equation.

This gives us two solutions to the equation; $x=7$ and $x=-1$ .

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loris [4]

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IgorC [24]

Answer:

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NeX [460]

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