1 Answer

Smerllo · Answer 1 · 2023-08-09T09:48:51+0000

Given the following System of equations:

$\mleft\{\begin{aligned}y=3x-2 \\ x-y=4\end{aligned}\mright.$

Let's use the Substitution method to find the solution of this System of equations. You can follow these steps:

1. You must substitute the first equation into the second equation:

$\begin{gathered} x-y=4 \\ x-(3x-2)=4 \end{gathered}$

2. Now you must solve for "x":

$\begin{gathered} x-3x+2=4 \\ -2x+2=4 \\ -2x=4-2 \\ x=(2)/(-2) \\ x=-1 \end{gathered}$

3. To find the value of "y", you must substitute the value of "x" found above, into the first equation and then evaluate. This is:

$\begin{gathered} y=3x-2 \\ y=3(-1)-2 \\ y=-3-2 \\ y=-5 \end{gathered}$

Therefore, the solution is:

$\begin{gathered} x=-1 \\ y=-5 \end{gathered}$

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