Question

Determine if the expressions are equivalent: 7+ 7x; 7 x + 1/7

Answer 1

The given  expressions  7+ 7x ; 7 x + 1/7 are not equivalent or equal

to each other

Step-by-step explanation:

Let us firstly assume that  7 + 7x is equivalent ( to 7(x + 1/7) so that means

7 + 7x = 7(x + 1/7)

7 + 7x = 7x + 7(1/7)

7 + 7x = 7x + 1

7x + 7 = 7x + 1

Now, subtracting 7x from both sides, we get:

7x - 7x + 7 = 7x - 7x + 1

(7 - 7)x + 7 = (7 - 7)x + 1

(0)x + 7 = (0)x + 1   thus their occurs a  false statement:

7 = 1 ( we know, 7 >1)

Thus we can say that

7 + 7x is NOT equivalent  to 7(x + 1/7)