2w + 7 = 2(w + 5) - 8

no solution

Step-by-step explanation:

2w + 7 = 2(w + 5) - 8

Distribute

2w+7 = 2w+10-8

Combine like terms

2w+7 = 2w+2

Subtract 2w from each side

7 = 2

This is never true so there is no solution

Hey there! I'm happy to help!

First we use the distributive property to undo the parentheses.

2w+7=2w+10-8

We combine like terms.

2w+7=2w+2

We subtract 2w from both sides.

7=2

Since we lost our variables and this equation is not true, there are no solutions to this equation as there is no possible value for w that can make this true.

Have a wonderful day! :D

isaiah walks 3 miles due north, turns and then 5 miles due east. how far is he from his starting point?

a^2 + b^2 = c^2

let c = distance from starting point.

(3)^2 + (5)^2 = c^2

9 + 25 = c^2

34 = c^2

sqrt{34} = sqrt{c^2}

sqrt{34} = c