Solve each equation. = 2x

Verified step by step guidance

1. Identify the equation given: $=2x$.
2. Recognize that the equation is incomplete and needs clarification or correction.
3. Assume a possible correction: if the equation is $y=2x$, then it represents a linear equation.
4. To solve for $x$, you would need additional information, such as a value for $y$.
5. If the equation is meant to be $0=2x$, then solve for $x$ by dividing both sides by 2, resulting in $x=0$.

Key Concepts

Linear Equations

Linear equations are mathematical statements that express the equality of two linear expressions. They typically take the form ax + b = c, where a, b, and c are constants, and x is the variable. Solving these equations involves isolating the variable to find its value, which represents the point where the two sides of the equation are equal.

Isolating the Variable

Isolating the variable is a fundamental technique in solving equations, where the goal is to manipulate the equation to get the variable on one side and the constants on the other. This often involves performing inverse operations, such as addition, subtraction, multiplication, or division, to both sides of the equation to maintain equality. Mastery of this concept is crucial for effectively solving linear equations.

Substitution

Substitution is a method used in solving equations where one variable is replaced with an equivalent expression. In the context of linear equations, once the variable is isolated, its value can be substituted back into the original equation or other related equations to find additional unknowns. This technique is essential for solving systems of equations or verifying solutions.