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olchik [2.2K]
3 years ago
12

What is 4 - 7f = f - 12

Mathematics
1 answer:
forsale [732]3 years ago
6 0
4 - 7f = f - 12

Subtract f from both sides.

4 - 7f - f = -12

Subtract 4 from both sides.

-7f - f = -12 - 4

Simplify.

-8f = -16

Divide both sides by -8.

f = 2

To show your work, simply plug in the value of f into the original equation.

When f = 2, :

4 - 7f = f - 12

4 - 7(2) = (2) - 12

Simplify.

4 - 14 = 2 - 12

Simplify.

-12 = -12

So, f = 2

~Hope I helped!~


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First image attached

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Second image attached

The error was done in Step C, because the student omitted the 2\cdot a \cdot b of the algebraic identity (a+b)^{2} = a^{2}+2\cdot a\cdot b +b^{2}. Step C must be 5\cdot x = x^{2}+4\cdot x + 4

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First image attached

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Second image attached

The error was done in Step C, because the student omitted the 2\cdot a \cdot b of the algebraic identity (a+b)^{2} = a^{2}+2\cdot a\cdot b +b^{2}. Step C must be 5\cdot x = x^{2}+4\cdot x + 4

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