Question

Which is the solution to the equation represented by the model below

Answer 1

Answer:

Third option, $x=2$

Step-by-step explanation:

By observation, we can infer that

$3x+8=4x+6$.

Subtract 8 from both sides:

$3x+8-8=4x+6-8$

$3x=4x-2$

Subtract 4x from both sides:

$3x-4x=4x-2-4x$

$-x=-2$

Divide both sides by -1:

$\frac{-x}{-1}=\frac{-2}{-1}$

$x=2$

Answer 2

Answer:

c; x=2

Step-by-step explanation:

You can see that there are 3 x's and 8 1's (3x+8), as well as 4 x's and 6 1's (4x+6).

The equation is 3x+8=4x+6

Subtract 3x and subtract 6: 2=x