Question

In the following exercises, solve the systems of equations by substitution. $\left\{\begin{array}{l}x-2 y=-5 \\ 2 x-3 y=-4\end{array}\right.$

   In the following exercises, solve the systems of equations by substitution.
$\left\{\begin{array}{l}x-2 y=-5 \\ 2 x-3 y=-4\end{array}\right.$
Intermediate Algebra
Intermediate Algebra
Lynn Marecek 1st Edition
Chapter 4, Problem 32 ↓
AceChat toggle button
Close icon
Ace pointing down

Please give Ace some feedback

Your feedback will help us improve your experience

Thumb up icon Thumb down icon
Thanks for your feedback!
Profile picture
In the following exercises, solve the systems of equations by substitution. $\left\{\begin{array}{l}x-2 y=-5 \\ 2 x-3 y=-4\end{array}\right.$
Close icon
Play audio
Feedback
Powered by NumerAI
David Collins Danielle Fairburn
Kathleen Carty verified

Melissa Grier and 78 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

*

Recommended Videos

-
in-the-following-exercises-solve-the-systems-of-equations-by-substitution-leftbeginarrayl-x-2-y-5-2-

In the following exercises, solve the systems of equations by substitution. $$ \left\{\begin{array}{l} x-2 y=-5 \\ 2 x-3 y=-4 \end{array}\right. $$

Elementary Algebra

Systems of Linear Equations

Solving Systems of Equations by Substitution

in-the-following-exercises-solve-the-systems-of-equations-by-substitution-leftbeginarrayl-x-3-y-9-2-

In the following exercises, solve the systems of equations by substitution. $$ \left\{\begin{array}{l} x-3 y=-9 \\ 2 x+5 y=4 \end{array}\right. $$

Elementary Algebra

Systems of Linear Equations

Solving Systems of Equations by Substitution

in-the-following-exercises-solve-the-systems-of-equations-by-substitution-leftbeginarrayl-3-x-4-y-11

In the following exercises, solve the systems of equations by substitution. $$ \left\{\begin{array}{l} 3 x-4 y=-11 \\ x-2 y=-5 \end{array}\right. $$

Elementary Algebra

Systems of Linear Equations

Solve Systems of Equations by Elimination


*

Transcript

-
00:01 Okay, if i want to solve this system of equations by substitution, by using the substitution method, i want to substitute one of the equations into the other.
00:14 So what i need to do is i need to isolate a variable.
00:18 And so i always like to look for a variable that doesn't have a coefficient in front of it, such as this x.
00:24 You can isolate whatever variable you want to, but depending on when you choose, depends on how much work you're going to have.
00:31 So if i have the equation x minus 2y equals negative 5 and i want to isolate the x, i would add 2y to that sides.
00:45 And that would give me x equals negative 5 plus 2y.
00:52 So now i can take this negative 5 plus 2y and i can substitute it in for x in the second equation there.
01:03 So if i rewrite that second equation, instead of writing 2x, i would write 2 times negative 5 plus 2y minus 3y equals negative 4.
01:25 Ready? so let me distribute that 2.
01:28 So that's going to be negative 10 plus 4y minus 3y equals negative 4...
Need help? Use Ace
Ace is your personal tutor. It breaks down any question with clear steps so you can learn.
Start Using Ace
Ace is your personal tutor for learning
Step-by-step explanations
Instant summaries
Summarize YouTube videos
Understand textbook images or PDFs
Study tools like quizzes and flashcards
Listen to your notes as a podcast
Continue solving this problem
Create a free account to:
  • View full step-by-step solution
  • Ask follow-up questions with Ace AI
  • Save progress and study later
Continue Free
Numerade

Get step-by-step video solution
from top educators

Continue with Clever
or



By creating an account, you agree to the Terms of Service and Privacy Policy
Already have an account? Log In

A free answer
just for you

Watch the video solution with this free unlock.

Numerade

Log in to watch this video
...and 100,000,000 more!


EMAIL

PASSWORD

OR
Continue with Clever