Question

How many solutions dose this eqashion have

7w-(2+w)=2(3w-1)
a 1
b 0
c infinity solutions

Answer 1

Hello!

7w - (2 + w) = 2(3w - 1)

First, we need to apply the Distributive Property to the right side of the equation;
2(3w - 1)
2(3w) + 2(-1)
6w - 2.

Now, we need to get our variable to one side of the equation.
Subtract 7w from both sides to get rid of the parenthesis;

-2 - w (the signs change due to the Distributive Property with the negative sign.)

-2 - w = 13w - 2
Add 2 to both sides.
-w = 13w
Divide both sides by -w
1 = -13
This an unequal equation, thus leaving our solution as "0 solutions."

Your answer is "B"

I hope this helps!