Question

The model represents an equation. What value of x makes the equation true?

A)
15
4


B)
15
8


C)
−
15
4


D)
−
15
8

Answer 1

Final answer is...... positive 15/8

Answer 2

The correct option is B.

Explanation:

In the given diagram, we have 6 boxes of -x and 6 box of 1 on the left hand side. It means,

`LHS=6(-x)+6(1)=-6x+6`

We have 2 boxes of x and 9 box of -1 on the right hand side. It means,

`RHS=2(x)+9(-1)=2x-9`

So, the equation represented by the given diagram is

`-6x+6=2x-9`

`-6x-2x=-9-6`

`-8x=-15`

Dived both sides by -8.

`x=(-15)/(-8)`

`x=(15)/(8)`

The value of x is
`(15)/(8)`

Therefore the correct option is B.