Answer:
[tex]\displaystyle x=-15[/tex]
Step-by-step explanation:
Solution Of A System Of Equations
A system of linear equations is given as
[tex]\displaystyle \left\{\begin{matrix}ax+by=c\\ dx+ey=f\end{matrix}\right.[/tex]
There are many methods to solve them. We will use the method of reduction
The given system is
[tex]\displaystyle \left\{\begin{matrix}2x+3y=45\\ x+y=10\end{matrix}\right.[/tex]
Multiplying the second equation by -3
[tex]\displaystyle \left\{\begin{matrix}2x+3y=45\\ -3x-3y=-30\end{matrix}\right.[/tex]
Adding the resulting equations
[tex]\displaystyle -x=15[/tex]
[tex]\displaystyle x=-15[/tex]
