Question

Solve for the indicated variable. $$ 5 t+11=18 $$

   Solve for the indicated variable.
$$
5 t+11=18
$$

Algebra and Trigonometry

Algebra and Trigonometry

Cynthia Y. Young 4th Edition

Chapter 1, Problem 13

Instant Answer

Solved by Expert Amy Jiang

06/30/2020

Step 1

$$ 5t + 11 - 11 = 18 - 11 $$ $$ 5t = 7 $$ Show more…

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Solve for the indicated variable. $$ 5 t+11=18 $$

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Key Concepts

Linear Equations

Linear equations are algebraic expressions set equal to each other in which the variable(s) have an exponent of one. Solving these equations involves finding the value of the variable that makes the equation true, and they form the foundation for understanding more complex algebraic concepts.

Variable Isolation

Variable isolation is the process of rearranging an equation to get the unknown variable by itself on one side of the equation. This is essential for determining the specific value of the variable that satisfies the equation.

Inverse Operations

Inverse operations refer to mathematical operations that reverse the effect of each other, such as subtraction countering addition and division countering multiplication. These operations are used in a systematic way to isolate the variable and simplify the equation.

Balancing Equations

Balancing equations means performing the same operation on both sides of an equation to maintain the equality. This principle ensures that any algebraic manipulation preserves the integrity of the equation while solving for the unknown variable.

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