Here is your answer
[tex]<b>x= -2 and y=3</b> [/tex]
Given equations are-
[tex] -3x+2y=12 [/tex] .....(i)
[tex] x=2y-8 [/tex] .....(ii)
Putting the value of x from eq. ii into eq. i, we get
[tex] -3(2y-8)+2y=12 [/tex]
[tex] -6y+24+2y=12 [/tex]
[tex] -4y+24=12 [/tex]
[tex] 4y= 24-12 [/tex]
[tex] 4y= 12 [/tex]
[tex] y= 12/4 [/tex]
[tex] y= 3 [/tex]
Putting y=3 in eq. ii, we get
[tex] x= 2×3-8 [/tex]
[tex] x= 6-8 [/tex]
[tex] x= -2 [/tex]
Hence
x= -2 and y= 3
HOPE IT IS USEFUL
