Step-by-step explanation:
Given equations are
[tex]y = 6x -11[/tex] and [tex]-2x -3y = -7[/tex].........(2)
⇒[tex]y - 6x = -11[/tex].......(1)
Equation (2)× 3 - Equation (1)
[tex]-6x -9y -(y-6x) = -21 -(-11)[/tex]
⇔[tex]-6x -9y-y+6x=-21+11[/tex]
⇔-10y = -10
⇔y=1
Putting the value of y in equation (1) we get
[tex]1 = 6x -11[/tex]
⇔x =2
Therefore x=2 and y= 1
