Answer:
x=2.7142 y=-2.8571,
Step-by-step explanation:
given 4x-8y=12............(1)
14+2x=-6y
2x+6y=-14..........(2)
from equ (2) multiply by 2
4x+12y=-28............(3)
substruct (1) and (3)
4x-8y-4x-6y=12-(-28)
-14y=40 ,y==-2.8571
y=-2.8571 put in equ (1)
4x-8(-2.8571)=12
4x=12-22.857=10.8571
x=
x=2.7142
a = hours worked by the first mechanic
b = hours worked by the second mechanic.
since the first mechanic charges $55 per hour, then for "a" hours that'd be a total of 55*a or 55a, likewise, for the second mechanic that'd be a total charge of 80*b or 80b.
we know all hours combined are 15, so then a + b = 15.
we also know that all charges combined are $950, so 55a + 80b = 950.