Question

Solve each system by using the substitution method. $\left(\begin{array}{l}y=-3 x-18 \\ 5 x-2 y=-8\end{array}\right)$

Name: Problem 3, Chapter 10: Intermediate Algebra
Uploaded: 2022-02-26T23:59:19-08:00
Duration: 48 s
Channel: Erika Bustos
Description: Solve each system by using the substitution method. ( y=-3 x-18 5 x-2 y=-8 )

   Solve each system by using the substitution method. 
 $\left(\begin{array}{l}y=-3 x-18 \\ 5 x-2 y=-8\end{array}\right)$

Intermediate Algebra

Jerome E. Kaufmann,… 10th Edition

Chapter 10, Problem 3

Instant Answer

Solved by Expert Erika Bustos

02/26/2022

Step 1

Step 1: We are given the system of equations: \[ \begin{align*} y &= -3x - 18 \\ 5x - 2y &= -8 \end{align*} \] Show more…

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Solve each system by using the substitution method. $\left(\begin{array}{l}y=-3 x-18 \\ 5 x-2 y=-8\end{array}\right)$

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Key Concepts

Substitution Method

The substitution method is a strategy for solving systems of equations by isolating one variable in one equation and substituting that expression into another equation. This method simplifies the problem into solving a single-variable equation, allowing you to find the values of the unknowns step by step.

System of Linear Equations

A system of linear equations is a collection of two or more equations that share common variables. The goal is to find values for these variables that satisfy each equation simultaneously. Understanding the structure of these systems is fundamental to many applications in algebra and mathematics.

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