Question

In Problems 17-54, solve each system of equations. If the system has no solution, say that it is inconsisten $\left\{\begin{aligned} 3 x-5 y & =3 \\ 15 x+5 y & =21\end{aligned}\right.$ 

   In Problems 17-54, solve each system of equations. If the system has no solution, say that it is inconsisten
 $\left\{\begin{aligned} 3 x-5 y & =3 \\ 15 x+5 y & =21\end{aligned}\right.$
Precalculus: pearson new international edition
Precalculus: pearson new international edition
Michael Sullivan 9th Edition
Chapter 11, Problem 37 ↓

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\[ \left\{ \begin{aligned} 3x - 5y &= 3 \\ 15x + 5y &= 21 \end{aligned} \right. \]  Show more…

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In Problems 17-54, solve each system of equations. If the system has no solution, say that it is inconsisten $\left\{\begin{aligned} 3 x-5 y & =3 \\ 15 x+5 y & =21\end{aligned}\right.$
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Key Concepts

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System of Linear Equations
This concept involves equations where each is of the first degree (i.e., no variables are raised to any power other than one). Problems in this area require finding values for the variables that satisfy all the equations at once.
Elimination Method
This technique involves manipulating the equations—typically by addition or subtraction—to remove one variable, making it easier to solve for the remaining variables. It is a common strategy for handling systems of linear equations.
Consistency of Systems
This refers to whether a system of equations has at least one solution. A consistent system has a unique or infinitely many solutions, while an inconsistent system has no solution. Understanding this concept is crucial in determining the nature of the system's solutions.
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Solve the system of equations by substitution y = -4x + 5 y = 3x - 16 (-3,-25) (3,-7) (11, 17) (21, 47)
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