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4 years ago

Help me please thanks

Mathematics

2 answers:

Nadya [2.5K]4 years ago

8 0

Answer: (D) all real numbers

Step-by-step explanation:

4(a + 3) = 12 + 4a

4a + 12 = 12 + 4a distributed 4 into a + 3

12 = 12 subtracted 4a from both sides

TRUE

A true statement means they are the same equation so any value you plug in for "a" will make a true statement. There are an infinite number of solutions.

Examples:

Let a = 0, then 4(0 + 3) = 12 + 4(0)

⇒ 4(3) = 12 + 0

⇒ 12 = 12

Let a = 10, then 4(10 + 3) = 12 + 4(10)

⇒ 4(13) = 12 + 40

⇒ 52 = 52

Let a = 100, then 4(100 + 3) = 12 + 4(100)

⇒ 4(103) = 12 + 400

⇒ 412 = 412

Any number you choose, will make a true statement so the solution is "all real numbers".

Natalka [10]4 years ago

6 0

Answer: All real numbers

Step-by-step explanation: If you plug in any number, it will work. 4(a+3) = 12+4a. a=-3 0=0

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