Answer:
[tex](-\frac{21}{11},\frac{15}{11})[/tex]
Step-by-step explanation:
Given:
[tex]- 4x+y =9\\ x-3y = -6[/tex]
Express [tex]y[/tex] in terms [tex]x[/tex] of using the first equation.
[tex]-4x+y=9\\y=4x+9[/tex]
Now, plug in the above value in second equation and solve for [tex]x[/tex].
This gives,
[tex]x-3y = -6\\x-3(4x+9)=-6\\x-12x-27=-6\\-11x-27=-6\\-11x=-6+27\\-11x=21\\x=\frac{21}{-11}=-\frac{21}{11}[/tex]
Now, plug in [tex]x[/tex] value and solve for [tex]y[/tex]. This gives,
[tex]y=4x+9=4(-\frac{21}{11})+9=-\frac{84}{11}+\frac{99}{11}=\frac{-84+99}{11}=\frac{15}{11}[/tex]
Therefore, the solution is [tex](-\frac{21}{11},\frac{15}{11})[/tex]
