Question

When solving literal equations, which of the following is a correct approach?

a) Combine like terms

b) Isolate the variable

c) Expand the expression

d) Factor the equation

Answer 1

The correct approach to solving literal equations is to isolate the variable, a step which may involve combining like terms, expanding expressions, and factoring as needed. Careful checking of the solution is essential to confirm its reasonableness.

Step-by-step explanation:

When solving literal equations, the correct approach would involve isolating the variable you are solving for. This process often includes combining like terms, expanding the expression, and factoring the equation as necessary steps to facilitate the isolation of the variable. Here are the general steps to follow:

• First, identify the variable you need to solve for.
• Combining like terms can simplify the equation, making it easier to work with.
• If the equation has parentheses or multiplied terms, expand the expression to clarify terms that involve the variable of interest.
• In cases where the variable is a factor in a product or quotient, factor the equation when necessary.
• After simplifying, isolate the variable by using algebraic operations to get the variable on one side and all other terms on the opposite side.
• Check the answer to ensure it is reasonable and accurate.

Each step requires careful attention and checking to ensure that the solution is correct. Remember to consider the factors on the left-hand side of the equation while holding the other factors constant as you work through the problem.