### Problem 14: Solving Systems of Equations**Instructions:** If you were required to solve each set one of the ways, decide which you would solve which way and explain why you chose that method.#### Set A:\[ \begin{cases}6x + 3y = 24 \\-7x + 3y = -28\end{cases} \]**I would solve set ___ by graphing, because:**#### Set B:\[ \begin{cases}y = 5x \\2x + 3y = -12\end{cases} \]**I would solve set ___ by substitution, because:**#### Set C:\[ \begin{cases}y = 4x + 18 \\y = 3x + 12\end{cases} \]**I would solve set ___ by elimination, because:**---This table helps students determine the most efficient method for solving different sets of linear equations. The methods include graphing, substitution, and elimination, each of which can be more or less effective depending on the specific equations provided.---### Graphs and Diagrams:**Graphing:**- The graphing method involves plotting each equation on the same coordinate plane to identify the point where the lines intersect. This point of intersection is the solution to the system of equations.**Substitution:**- The substitution method is useful when one equation is already solved for a variable, such as \( y = 5x \). This allows students to substitute the expression directly into the other equation to solve for the other variable.**Elimination:**- The elimination method is effective for eliminating one variable by adding or subtracting the equations. For instance, if the equations align together in such a way that adding or subtracting them immediately cancels out one of the variables, it simplifies solving the other variable.---**Note for Educators:**Encourage students to identify the method that seems most straightforward based on the structure of the equations. This practice not only builds problem-solving skills but also deepens understanding of the properties of linear equations.

We are asked to find the solution of the equation.

Answered: A 6x + 3y= 24 -7x + 3y = -28 y = 5x 2x…

A 6x + 3y= 24 -7x + 3y = -28 y = 5x 2x + 3y = -12 y= 4x + 18 y= 3x + 12 Id solve set aphing, because I would solve set I would solve set by substitution, because by elimination, because

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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can you tell me which ones are infinite solution , one solution , and no solution for each
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