Question

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

Answer 1

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

Answer 2

Answer:

The correct option is B.

Step-by-step 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.

$x=\frac{-15}{-8}$

$x=\frac{15}{8}$

The value of x is $\frac{15}{8}$

Therefore the correct option is B.