Question

Select mode<11/11 -10. Write and solve the equation modeled below.Equation:X=Solution:

Answer 1

2=-8-x Equation

x=-10

Step-by-step explanation

Step 1

the scale is in balance, that indicates that the weights to the right and left are equal

Let

left side=2 squares of 1 each

then

left side=2

Step 2

rigth side=8 times (1) plus -x

rigth side=(8*-1)-x

rigth side=-8-x

Step 3

finally

`\begin{gathered} \text{left side= rigth side} \\ \text{replacing} \\ 2=-8-x\text{ Equation (1)} \end{gathered}`

Step 4

finally solve equation (1) for x

`\begin{gathered} 2=-8-x \\ \text{add 8 in both sides} \\ 2+8=-8-x+8 \\ 10=-x \\ \text{Multiply each side by -1} \\ 10\cdot-1=-x\cdot-1 \\ -10=x \end{gathered}`

I hope this helps you