Question

(Will give 20 points) There are a total of 52 students on the soccer team and the field hockey team. The field hockey team has 12 more students than the soccer team. Write a system of linear equations that fits this situation. How many students are on the soccer team x and the field hockey team y?

Answer 1

Answer:

x + y = 52

y = x + 12

(soccer team) x = 20, (hockey team) y = 32

Step-by-step explanation:

x = students on the soccer team

y = students on the hockey team

x + y = 52

y = x + 12

Substitute y = x +12 to get:

= x + x +12 = 52

= 2x + 12 =52

Isolate x for 2x + 12 = 52: x = 20.

Now incorporate a new equation with x = 20:

y = 20 +12

y = 32

Therefore:

x = 20, y = 32

Answer 2

Answer:
X=20 Y=32
Explanation:
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