Solve the following system for s and t (-1)/(1-2) Hint: Make the substitutions 1 / s=x and 1 / t

Name: Problem 46, Chapter 11: Precalculus
Uploaded: 2020-07-29T15:14:27-08:00
Duration: 1 min 27 s
Channel: Anurag Kumar
Description: Solve the following system for s and t (-1)/(1-2) Hint: Make the substitutions 1 / s=x and 1 / t=y in order to obtain a system of two linear equations.

step 1 have given a system of linear equation that is 3 divided by s minus 4 divided by t is equal to 2

Question

Solve the following system for $s$ and $t$ $$ \frac{-1}{1-2} $$ Hint: Make the substitutions $1 / s=x$ and $1 / t=y$ in order to obtain a system of two linear equations.

   Solve the following system for $s$ and $t$
$$
\frac{-1}{1-2}
$$
Hint: Make the substitutions $1 / s=x$ and $1 / t=y$ in order to obtain a system of two linear equations.

Precalculus

David Cohen,… 7th Edition

Chapter 11, Problem 46

Instant Answer

Solved by Expert Anurag Kumar

07/29/2020

Step 1

This gives us the system of equations: \begin{align*} 3x - 4y &= 4, \\ 5x + y &= -3. \end{align*} Show more…

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Solve the following system for $s$ and $t$ $$ \frac{-1}{1-2} $$ Hint: Make the substitutions $1 / s=x$ and $1 / t=y$ in order to obtain a system of two linear equations.

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Key Concepts

Reciprocal Transformation

Reciprocal transformation is a technique where variables are replaced by their reciprocals to reframe the problem. This can often simplify the structure of the equations, turning inverse relationships into direct linear relationships, thereby making the solution process more straightforward.

System of Linear Equations

A system of linear equations consists of multiple linear equations that are solved together to find values for the variables that satisfy all equations simultaneously. Converting problems into this familiar form enables the use of established methods such as substitution or elimination to efficiently determine the solution.

Substitution Method

This method involves replacing a part of an equation with a new variable to simplify the problem. In this context, substituting 1/s with x and 1/t with y allows a non-linear system to be reformulated as a system of linear equations, which is typically easier to solve.

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