I will solve this using substitution.
We are given that x=5y-10, so we will find the y value first by substituting 5y-10 in for x.
2x+2y=124
Substitute:
2(5y-10)+2y=124
Distribute:
10y-20+2y=124
Combine like terms:
12y-20=124
Add 20 to both sides:
12y=144
Divide 12 to both sides:
y=12
Now that we have the y value, we will do the same process again, but finding the x value using the y value this time.
2x+2y=124
Substitute:
2x+2(12)=124
Calculate:
2x+24=124
Subtract 24 to both sides:
2x=100
Divide 2 to both sides:
x=50
So your answers are:
x=50 and y=12. (50,12)
Hope this helped!