SOLUTION:
GOAL: You are being asked to find the distance the person walked to the
stadium.
STRATEGY: Letx¼the time the person walked
andy¼the time the person rode the bus
Since the total time is 2 hours, the first equation is
xþy¼ 2
Since the distances are equal andD¼RT, the second equation is
3 x¼ 22 y
IMPLEMENTATION: Solve the system
xþy¼ 22
3 x¼ 22 y
Solve the first equation fory and substitute the value in the second
equation, and then solve forx.
xþy¼ 2
xxþy¼ 2 x
y¼ 2 x
Then
3 x¼ 22 y
3 x¼ 22 ð 2 xÞ
3 x¼ 44 22 x
LESSON 18 Using Two Equations 215