Solve by setting up a system of linear equations with 2 variables and 2 unknowns. There were 130 faculty at a conference. If there were 18 more women than men attending the conference, how many of each gender attended the conference?

Let there are x men and y women.

there were total 130 faculty

so x+y=130 ... (1)

If there were 18 more women than men,

then x+18=y ... (2)

plugging value of y from equation (2) in equation (1)

x+x+18=130

2x=112

x=55

y=x+18=55+18=73

so there are 55 men and 73 women