Question

Is 0 a solution to 2x + 10 = 4x + 10? Explain or showyour reasoning.CORRECT! Now, explain WHY O is a solution forthis equation.YES, O is a solution to the equation 2x + 10 = 4x + 10ONO, O IS NOT a solution to the equation 2x + 10 = 4x + 10Explain your thinking.

Answer 1

The given equation is

`2x+10=4x+10`

If we replace x = 0, we have.

`\begin{gathered} 2\cdot0+10=4\cdot0+10 \\ 10=10 \end{gathered}`

As you can observe, x = 0 satisfies the equation.

Therefore, zero is a solution of the given equation because when you replace it for the variable, you get a result that is true, that's why it's a solution.

If we get a result like 1 = 2, or 4 = 3, something false like that, then we have to conclude that it's not a solution. But, that's not the case here.