Question

1.Which statement about the equation is true? x + 2 = x + 4 2. 5(w−1)−2=5w+7

Answer 1

Answer:

Both equations have no solution.

Step-by-step explanation:

The first equation is:

$x + 2 = x + 4$

Group the similar terms to get:

$x - x = 4 - 2$

$0 = - 2$

This equation has no solution because

$0 \ne - 2$

The second equation is

$5(w - 1) - 2 = 5w + 7$

We expand the parenthesis to obtain:

$5w - 5 - 2 = 5w + 7$

$5w - 7= 5w + 7$

Group similar terms:

$5w -5w = 7 + 7$

$0 = 14$

This equation does not also have solution because

$0 \ne14$