Determine whether the equation is linear in x.

5-3x=0

5=10/2

x+3=x-5

equations one is a point. Equation 3 has no solution. Equation 2 is not in x at all.

So what does Linear equation mean? Most agree it is a polynomial equation of degree one.

Are any of the above polynomials?

no

To determine whether an equation is linear in x, we need to look at the highest power of x. In a linear equation, the highest power of x is 1.

Let's examine the given equations:

1. 5-3x=0

In this equation, the highest power of x is 1, which means it is a linear equation in x.

2. 5=10/2

This equation does not contain x, so it cannot be considered linear in x.

3. x+3=x-5

In this equation, both sides have x terms, but the equation simplifies to 3 = -5, which is not true for any value of x. Therefore, it is not a linear equation in x.

To summarize:
- Equation 1 (5-3x=0) is linear in x.
- Equation 2 (5=10/2) is not linear in x as it does not involve x.
- Equation 3 (x+3=x-5) is not linear in x as it leads to an inconsistency.