Solve the following equation.

8−5w=7−3w−2w

(1 point)
Responses

Infinitely Many

w=1

No Solution

1 answer

To solve the equation 8-5w=7-3w-2w, we can start by combining like terms.

First, let's combine the -3w and -2w terms on the right side of the equation:

8 - 5w = 7 - 5w

Next, we can subtract 7 from both sides of the equation:

8 - 5w - 7 = 7 - 5w - 7
1 - 5w = -5w

At this point, we can see that the -5w term is present on both sides of the equation. When we subtract -5w from both sides, it cancels out:

1 - 5w - (-5w) = -5w - (-5w)
1 = 0

This leads to the conclusion that the equation has no solution. Therefore, the correct response is:

No Solution