Question

Help me please thanks

Answer 1

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".

Answer 2

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