There are a total of 52 students on the soccer team and field hockey team. the field hockey team has 12 more students than the soccer team. write a system of linear equation that fits this situation. how many students are on the soccer team x and the field hockey team y?

Y = x+12
52 = x + y

You plug in the (x+12) for y in (52 = x + y) making the equation 52 = x + x +12 or simplified 52 = 2x + 12. You subtract 12 from both sides of the equation to get 40 = 2x. You divide both sides by 2 to get 20 = x.

You then plug in 20 for x in y = x+12, now y = 20 +12. Simplified y = 32

32 + 20 = 52