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

Byou start by adding them all and setting them equal to 180 since that is half of the total degrees in a circle.(2x+8) + (3x-14) + (3x-14) = 1808x-20 = 1808x = 200x = 25