Hey there!!
We have 2 equations.
... 2x+5y=-55 and y=3x+6
Substitution method:
... 2x+5(3x+6)=-55
... 2x+15x+30=-55
... 17x+30=-55
Subtracting 30 on both sides:
... 17x=-55-30
... 17x=-85
Dividing by 17 on both sides:
... x=-85/17
... x = -5
The value of x is -5.
We have:
... 2x+5y=-55
... 2(-5)+5y=-55
... -10+5y=-55
Adding by 10 on both sides:
... 5y=-55+10
... 5y=-45
Dividing by 5 on both sides:
... y=-9
Hence, the value of 'x' is -5 and the value of 'y' is -9.
Hope my answer helps!