Question
What is the first step to solve the system using substitution? \[ \begin{array}{l}2 y+x=4 \\ 3 y=2 x+6\end{array} \] Isolate a variable in one of the equations. Set one of the equations equal to zero.
Ask by Summers Ross. in the United States
Feb 06,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
El primer paso es aislarse una variable en una de las ecuaciones.
Solution

Sign in to Unlock Answers for Free!
A Learning Platform Trusted by Millions of Real Students and Teachers.

Answered by UpStudy AI and reviewed by a Professional Tutor
Like
The Deep Dive
To start solving the system using substitution, let’s isolate the variable \(x\) in the first equation \(2y + x = 4\). Rearranging this gives us \(x = 4 - 2y\). Now, we have \(x\) expressed in terms of \(y\), ready for substitution! Next, we can substitute \(x = 4 - 2y\) into the second equation \(3y = 2x + 6\). This will allow us to solve for \(y\) in a single equation. Plugging in our expression for \(x\) will make the next steps much clearer!