School x and school y play each other in a competition. school x has eight more points that school y . school x has three times as many points as school y. how many points does each school have?

Define x and y :

Let x be the points school x scored.
Let y be the points school y scored.


Construct equations :

School X has eight more points that school Y
x = y + 8

School X has three times as many points as school Y.
x = 3y


Solve for x and y :

x = y + 8 (1)
x = 3y      (2)

Sub (2) into (1)

3y = y + 8
2y = 8
y = 4


Find school x and y :

School y has 4 points.
School x has 4x3= 12 points


School x has 12 points and school y has 4 points.

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