Question

1.1 Introduction Determine whether the following is -2x+4-3=9x

Answer 1

Upon simplifying and solving the equation, it is clear that -2x+4-3 does not equate to 9x. Instead, after combining like terms and isolating x, we find that x equals 1/11.

Step-by-step explanation:

Step-by-Step Solution to the Linear Equation

To determine if the equation -2x+4-3=9x is correct, we first simplify and solve for x. Here are the steps:

1. Combine like terms on the left side:
   -2x + 4 - 3 becomes
   -2x + 1.
2. Next, set the equation to zero by subtracting 9x from both sides, resulting in -2x + 1 - 9x = 0.
3. Combine the x-terms: -2x - 9x becomes -11x, so the equation is -11x + 1 = 0.
4. To isolate x, subtract 1 from both sides, giving
   -11x = -1.
5. Finally, divide both sides by -11 to solve for x, resulting in x = 1/11.

The original equation is not equal as is because -2x + 4 - 3 does not simplify to 9x. Instead, the correct steps show that x equals 1/11 after solving the linear equation.