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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

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El primer paso es aislarse una variable en una de las ecuaciones.

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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!

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