The number of men and women receiving bachelor's degrees each year has been steadily increasing. For the years 1970 through the projection of 2014, the number of men receiving degrees (in thousands) is given by the equation y equals 3.8 x plus 441, and for women, the equation is y equals 14.4 x plus 311, where x is the number of years after 1970.

Step-by-step explanation:

Given:

The number of men receiving degrees (in thousands)

y = 3.8x + 441

The number of women receiving degrees (in thousands)

y = 14.4x + 311

y = 14.4x + 311

y = 3.8x + 441

Solving the above equations simultaneously,

3.8x + 441 = 14.4x + 311

10.6x = 130

x = 12.24

Inputting the value of x into the initial equation to find y,

y = 3.8(12.26) + 441

= 487.6

Therefore, the point (12.26 , 487.6) will be the solution of our given equations.