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3 years ago

The product of 4 and a number f decreased by 2 is 15

Mathematics

2 answers:

Debora [2.8K]3 years ago

7 0

Answer: The number is: "2 " .

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Step-by-step explanation:

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Write the expression; which is an equation, as follows:

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" 4x − 12 = 2(-x) " ; in which "x" represents "the number for which we shall solve" .

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Note:

If the "number" = "x" ; the "opposite of the number" = " -x " ;

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Rewrite as: " 4x − 12 = -2x " ;

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→ Add "12" ; & add "2x" ; to EACH SIDE of the equation:

4x − 12 + 12 + 2x = -2x + 12 + 2x ;

to get: 6x = 12 ;

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Now, divide each side of the equation by "6" ;

to isolate "x" on one side of the equation; & to solve for "x" ;

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6x / 6 = 12 / 6 ;

to get: x = 2 .

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Answer: The number is: "2 " .

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Let us check our answer, by plugging in "2" for "x" in our original equation:

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→ " 4x − 12 = 2(-x) " ;

Let us plug in "2" for "x" ; to see if the equation holds true; that is; if both side of the equation are equal; when "x = 2" ;

→ " 4(2) − 12 = ? 2(-2) ??

→ 8 − 12 = ? -4 ? ;

→ -4 = ? -4 ?? Yes!

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siniylev [52]3 years ago

4 0

Answer:

4f - 2 = 15

Step-by-step explanation:

product of 4 and a number f: 4 × f or 4f
decreases by 2: - 2
is 15: = 15

Therefore, the answer is 4f - 2 = 15.

Have a lovely rest of your day/night, and good luck with your assignments! ♡

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