[tex] \left \{ {{y=5x-8} \atop {y=6x+3}} \right. [/tex]
Arrange equation variables for elimination :
[tex] \left \{ {{y-5x=-8} \atop {y-6x=3}} \right. [/tex]
y - 6x = 3
- y - 5x = -8
______________
-x = 11
For y :
y - 6 x = 3
y - 6 ( - 11 ) = 3
y + 66 = 3
y = 3 - 66
y = -63
x = - 11 y = -63
hope this helps!