Question

Solve the system of equations. $$ \begin{aligned} -4 s+3 t &=16 \\ 4 t-2 u &=2 \\ -s+6 u &=-2 \end{aligned} $$

Name: Problem 123, Chapter 5: Intermediate Algebra for College Students
Uploaded: 2020-05-15T20:02:17-08:00
Duration: 45 s
Channel: Heather Zimmers
Description: Solve the system of equations. -4 s+3 t =16 4 t-2 u =2 -s+6 u =-2

   Solve the system of equations.
$$
\begin{aligned}
-4 s+3 t &=16 \\
4 t-2 u &=2 \\
-s+6 u &=-2
\end{aligned}
$$

Intermediate Algebra for College Students

Allen R. Angel;… 10th Edition

Chapter 5, Problem 123

Instant Answer

Solved by Expert Heather Zimmers

05/15/2020

Step 1

Let's solve for s. -4s + 3t = 16 -4s = -3t + 16 s = (3/4)t - 4 Show more…

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Solve the system of equations. $$ \begin{aligned} -4 s+3 t &=16 \\ 4 t-2 u &=2 \\ -s+6 u &=-2 \end{aligned} $$

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Key Concepts

System of Linear Equations

A collection of two or more linear equations involving the same set of variables. The goal is to find the values of these variables that satisfy every equation in the system simultaneously. Solving such systems is fundamental in various areas of mathematics and applications across science and engineering.

Substitution Method

A solution technique where one solves one of the equations for one variable, then substitutes that expression into the remaining equations. This reduces the number of variables and simplifies the system step by step.

Elimination Method

A method that involves adding or subtracting equations to eliminate one of the variables. By systematically removing variables, the system is transformed into one with fewer unknowns, making it easier to solve for the remaining variables.

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