Question

Use the model to solve for x.

Answer 1

a) x = 2

Explanation:

On the left we have four x-es and two (-1) so: 4•x+2•(-1)

On the right we have one x and four (+1) so: x+4•(+1)

The scarves of scales are balanced, therefore:

4•x + 2•(-1) = x + 4•(+1)

4x - 2 = x + 4

-x -x

3x - 2 = 4

+2 +2

3x = 6

÷3 ÷3

x = 2

Answer 2

Option A

Explanation:

Since left and right sides are equal:

`x+x+x+x+(-1) +(-1) = x+1+1+1+1\\4x-2 = 4+x\\3x=6\\x=2`

Hope that helps.