Question

Determine the solution to each system of equations by substitution. $y=\frac{2}{3} x-1$ $2 x-3 y=5$

Name: Problem 48, Chapter 4: Intermediate Algebra for College Students
Uploaded: 2020-03-06T18:42:13-08:00
Duration: 2 min 28 s
Channel: Chandler Austin
Description: Determine the solution to each system of equations by substitution. y=(2)/(3) x-1 2 x-3 y=5

   Determine the solution to each system of equations by substitution. $y=\frac{2}{3} x-1$
$2 x-3 y=5$

Intermediate Algebra for College Students

Allen R. Angel;… 10th Edition

Chapter 4, Problem 48

Instant Answer

Solved by Expert Chandler Austin

03/06/2020

Step 1

We can substitute this expression for $y$ in the second equation to solve for $x$. Show more…

Show all steps

Thanks for your feedback!

Determine the solution to each system of equations by substitution. $y=\frac{2}{3} x-1$ $2 x-3 y=5$

Play audio

Feedback

Chandler Austin and 90 other educators are ready to help you.

Ask a new question

Labs

Want to see this concept in action?

NEW

Explore this concept interactively to see how it behaves as you change inputs.

View Labs

Key Concepts

System of Equations

This refers to a collection of two or more equations with the same set of unknowns whose solutions are the values that satisfy every equation in the system simultaneously. In the context of linear systems, each equation represents a line in the coordinate plane, and the solution corresponds to the intersection point of these lines.

Substitution Method

This is a strategy for solving systems of equations by isolating one variable in one of the equations and then substituting this expression into the other equation(s). This method reduces the system to a single equation with one variable, making it easier to solve.

Algebraic Manipulation

This involves the use of various algebraic techniques such as isolating variables, combining like terms, and performing arithmetic operations to simplify equations. These techniques are essential for solving linear equations and systems of equations efficiently.

Please give Ace some feedback