To solve linear equations, follow these steps:
1. Simplify the equation by combining like terms on both sides of the equation.
2. Use the properties of equality to isolate the variable on one side of the equation. This is typically done by adding, subtracting, multiplying or dividing both sides by the same number.
3. Continue simplifying the equation until the variable is alone on one side of the equation.
4. Solve for the variable by performing the necessary operations to isolate it. If there are multiple variables, solve for one variable in terms of the others.
5. Check the solution by substituting it back into the original equation. If the equation is true, then the solution is correct. If not, recheck your steps or find errors in the calculations.
6. If there are fractions within the equation, try to eliminate them by multiplying through by the common denominator. This will often lead to simpler calculations.
7. If the equation involves variables with exponents, use the rules of exponents to simplify and solve for the variable.
8. Remember to consider special cases, such as when the variable is in the denominator or when the variable is inside a radical.
Overall, the key to solving linear equations is to simplify and isolate the variable by performing operations on both sides of the equation.
write notes on solving linear equations
1 answer