Question

Solve each equation, and check your solution. $$ 4 p-5=2 p $$

   Solve each equation, and check your solution.
$$
4 p-5=2 p
$$

Beginning Algebra

Beginning Algebra

Margaret L. Lial,… 11th Edition

Chapter 2, Problem 13

Instant Answer

Solved by Expert Ali Soave

06/18/2020

Step 1

Step 1: Subtract 2p from both sides of the equation to get the p terms together: $$4p - 2p = 2p - 2p + 5$$ This simplifies to: $$2p = 5$$ Show more…

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Solve each equation, and check your solution. $$ 4 p-5=2 p $$

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Key Concepts

Linear Equations

Linear equations are equations in which the variable is raised only to the first power, resulting in a straight-line graph when plotted. They require techniques for isolating the variable, which typically involve adding, subtracting, multiplying, or dividing both sides of the equation by the same value.

Algebraic Manipulation

Algebraic manipulation is the process of rearranging and simplifying equations by performing equivalent operations on both sides. This technique is essential for isolating variables in order to solve equations and simplifying expressions to their most basic form.

Solution Verification

Solution verification is the process of substituting the obtained solution back into the original equation to ensure that it produces a true statement. This step confirms the accuracy of the solution and helps identify any possible errors made during the solving process.

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