Question

Substitute w = 1 and w = 3 to determine if the two expressions are equivalent

Answer 1

Answer:

Expressions are not equivalent

Step-by-step explanation:

Given expressions are:

$4(3w+4)\ and\ 16w+12$

Putting w=1 in both expressions

$4(3w+4)\\=4[3(1)+4]\\=4(3+4)\\=4(7)\\=28\\\\16w+12\\=16(1)+12\\=16+12\\=28$

Both expression have value 28 on w=1

Putting w=3 in both expressions

$4(3w+4)\\=4[3(3)+4]\\=4(9+4)\\=4(13)\\=52\\\\16w+12\\=16(3)+12\\=48+12\\=60$

Both expression have different values at w=3

Hence, in order for the expressions to be equivalent they both should produce same value on w=3 too.

So, it can be concluded that both expressions are not equivalent ..