Question

Write a system of equations and solve. Through 2009 , Beyonce had been nominated for five more BET Awards than T.I. Determine how many nominations each performer received if they got a total of 27 nominations.

Name: Problem 5, Chapter 5: Beginning and Intermediate Algebra
Uploaded: 2021-03-13T17:37:08-08:00
Duration: 2 min 6 s
Channel: Debasish Das
Description: Write a system of equations and solve. Through 2009 , Beyonce had been nominated for five more BET Awards than T.I. Determine how many nominations each performer received if they got a total of 27 nominations.

   Write a system of equations and solve.
Through 2009 , Beyonce had been nominated for five more BET Awards than T.I. Determine how many nominations each performer received if they got a total of 27 nominations.

Beginning and Intermediate Algebra

Sherri Messersmith 3rd Edition

Chapter 5, Problem 5

Instant Answer

Solved by Expert Debasish Das

03/13/2021

Step 1

I. received as T. According to the problem, we have two equations: \begin{align*} B + T &= 27 \quad \text{(since they got a total of 27 nominations)} \\ B &= T + 5 \quad \text{(since Beyonce had been nominated for five more BET Awards than T.I.)} \end{align*} Show more…

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Write a system of equations and solve. Through 2009 , Beyonce had been nominated for five more BET Awards than T.I. Determine how many nominations each performer received if they got a total of 27 nominations.

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Key Concepts

System of Linear Equations

This concept involves setting up two or more equations with common variables that can be solved simultaneously. It forms the basis for analyzing relationships between different quantities in a problem and finding their unique values that satisfy all conditions.

Translating Word Problems into Equations

This process entails reading and interpreting a problem's text to define variables and establish relationships between them through algebraic equations. It is a fundamental skill in algebra that bridges real-life situations with mathematical solutions.

Substitution Method

This is a technique for solving systems of equations by expressing one variable in terms of another from one equation, then substituting that expression into another equation. This method simplifies the problem to a single equation with one unknown, making it easier to solve.

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