Question

Solve for the indicated variable. $$ 4 p+5=9 $$

   Solve for the indicated variable.
$$
4 p+5=9
$$

Algebra and Trigonometry

Algebra and Trigonometry

Cynthia Y. Young 4th Edition

Chapter 1, Problem 10

Instant Answer

Solved by Expert Courtney Solomon

06/13/2021

Step 1

Step 1: Subtract 5 from both sides of the equation: $$ 4p + 5 - 5 = 9 - 5 $$ This simplifies to: $$ 4p = 4 $$ Show more…

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Solve for the indicated variable. $$ 4 p+5=9 $$

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Key Concepts

Isolating the Variable

Isolating the variable involves rearranging the equation so that the unknown value stands alone on one side. This process is central to solving linear equations, as it allows for directly finding the value of the variable through systematic application of algebraic operations.

Inverse Operations

Inverse operations are used to undo or reverse an arithmetic operation. In the context of solving linear equations, they help in removing coefficients and constants attached to the variable, such as using subtraction to cancel out addition or division to cancel out multiplication.

Linear Equations

A linear equation is an algebraic expression where the variable is not raised to any power higher than one. They are fundamental in algebra, representing relationships that display a constant rate of change, and often serve as the basis for more complex mathematical concepts.

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