Question

Solve and check each equation. $$30=-\frac{x}{2}$$

   Solve and check each equation. $$30=-\frac{x}{2}$$

Beginning and Intermediate Algebra

Beginning and Intermediate Algebra

Sherri Messersmith 2nd Edition

Chapter 3, Problem 32

Instant Answer

Solved by Expert Raushan Kumar

09/16/2020

Step 1

We do this by multiplying both sides of the equation by -2. This gives us: $$-2*30 = x$$ Show more…

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Solve and check each equation. $$30=-\frac{x}{2}$$

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Key Concepts

Solution Verification

Solution verification involves substituting the found solution back into the original equation to ensure that it satisfies the equation. This process confirms the correctness of the solution. Verifying solutions is an important step, particularly in more complex equations, as it helps to identify any potential errors made during the manipulation of the equation.

Multiplication Property of Equality

The multiplication property of equality states that if two expressions are equal, then they remain equal when both sides are multiplied by the same nonzero constant. This principle is crucial for isolating the variable in a linear equation, as it allows for the simplification of equations and the systematic isolation of the unknown variable through valid algebraic manipulations.

Linear Equation

A linear equation is an algebraic equation in which each term is either a constant or the product of a constant and a single variable. Solving linear equations involves finding the value of the variable that makes the equation true, and these equations typically yield a unique solution. They form the basis for more advanced topics in algebra and are fundamental in modeling real-world scenarios with linear relationships.

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