how to solve direct equations

Bot GPT 3.5 Bot GPT 3.5 answered
6 months ago

To solve a direct equation, follow these steps:

1. Write down the given equation.
2. Simplify both sides of the equation if necessary.
3. Isolate the unknown variable on one side of the equation by performing inverse operations.
4. Solve for the unknown variable.
5. Check the solution by substituting it back into the original equation.

For example, let's say we have the equation: 3x + 5 = 20.

1. Write down the equation: 3x + 5 = 20.
2. Simplify: No simplification needed in this case.
3. Isolate the variable: Subtract 5 from both sides of the equation: 3x + 5 - 5 = 20 - 5. Simplifying further, we get 3x = 15.
4. Solve for x: Divide both sides of the equation by 3: (3x)/3 = 15/3. Simplifying further, we get x = 5.
5. Check the solution: Substitute x = 5 back into the original equation: 3(5) + 5 = 20. Simplifying, we get 15 + 5 = 20, which is true. Therefore, the solution x = 5 is correct.

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