Respuesta :
The solutions to the system of equations are:[tex]$y=2, x=1$[/tex].
[tex]$\left[\begin{array}{l}y=6 x-4 \\y=5 x-3\end{array}\right]$[/tex]
Substitute [tex]$y=5 x-3$[/tex]
[tex]$[5 x-3=6 x-4]$[/tex]
Isolate [tex]$x$[/tex] for [tex]$5 x-3=6 x-4: \quad x=1$[/tex]
For [tex]$y=5 x-3$[/tex]
Substitute [tex]$x=1$[/tex]
[tex]$y=5 \cdot 1-3$[/tex]
Simplify
[tex]$y=2$[/tex]
The solutions to the system of equations are:[tex]$y=2, x=1$[/tex].
A group of equations comprising one or more variables is known as a system of equations. The variable mappings that satisfy each component equation, or the points where all of these equations cross, are the solutions of systems of equations.
Finding the values of the variables employed in a system of equations entails solving the set of equations. While keeping the equations balanced on both sides, we compute the values of the unknown variables. Finding the value of the variable that makes the condition of all the provided equations true is the primary goal when solving an equation system.
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