Solve. 5 x+7-√(3)+3=1

Name: Problem 21, Chapter 8: Elementary Algebra
Uploaded: 2022-02-03T17:34:56-08:00
Duration: 42 s
Channel: James Kiss
Description: Solve. 5 x+7-√(3)+3=1

step 1 Given the cube root of 5x plus 7 plus 3 equals 1, to solve for x, let's isolate the radical. Let

Question

Solve. $$ 5 x+7-\sqrt{3}+3=1 $$

   Solve.
$$
5 x+7-\sqrt{3}+3=1
$$

Elementary Algebra

John Redden 1st Edition

Chapter 8, Problem 21

Instant Answer

Solved by Expert James Kiss

02/03/2022

Step 1

Step 1: First, we isolate the cube root by subtracting 3 from both sides of the equation: $$ 5x+7-\sqrt[3]{3}=1-3 $$ which simplifies to: $$ 5x+7-\sqrt[3]{3}=-2 $$ Show more…

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Solve. $$ 5 x+7-\sqrt{3}+3=1 $$

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Key Concepts

Linear Equations

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 a linear equation typically involves isolating the variable to determine its value, and the equation represents a straight line when graphed.

Combining Like Terms

Combining like terms refers to the process of simplifying an expression by merging terms that have the same variable component or are constants. This step reduces the complexity of the equation and sets the stage for clearer isolation of the unknown variable.

Isolation of the Variable

Isolation of the variable is the technique of manipulating an equation using inverse operations to get the unknown value alone on one side of the equation. This process, which can involve adding, subtracting, multiplying, or dividing both sides of the equation, is fundamental to solving equations.

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