The equations y = -0.38x + 56.6 and y = 0.38x + 43.4 represent the percent of men and women, respectively, receiving bachelor's degrees, where x is the number of years since 1968. in approximately what year did the same percent of men and women receive bachelor's degrees?

Begin by using simultaneous equations to find the values of x and y. 

y=-0.38x+56.6
y=0.38x+43.4 

-0.38x+56.6=0.38x+43.4 
-0.38x-0.38x=-56.6+43.4 
-0.76x=-13.3 
x=-13.3/-0.76 
x=17.5 

y=0.38(17.5)+56.6
y=63.25 

Knowing that the initial year was 1968, add 17.5 years to find to find out when the same percent of men and women received a bachelor's degree. 

1968+17.5= 1985.5 

So, in the year 1985 and half, both men and women got the same number of bachelor's degrees. 

Hope I helped :)