Q.75
Question
Using your own words, list the steps in the general
strategy for solving linear equations.
Step-by-Step Solution
Verified Answer
To solve a linear equation: (1) Simplify each side by distributing and combining like terms. (2) Use addition/subtraction to isolate the variable term. (3) Use multiplication/division to solve for the variable. (4) Check the solution.
1Step 1: Simplify each side
Clear any fractions or parentheses by multiplying through by the LCD or distributing. Combine like terms on each side of the equation.
2Step 2: Isolate the variable term
Use the Addition/Subtraction Property of Equality to move all variable terms to one side and all constant terms to the other side.
3Step 3: Solve for the variable
Use the Multiplication/Division Property of Equality to isolate the variable by dividing both sides by the coefficient of the variable.
4Step 4: Check the solution
Substitute the solution back into the original equation to verify it satisfies the equation.
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