SOLUTION: holly took a 1900km trip traveling by bus and plane. The bus averaged 60km/h and the plane averaged 700 km/h if the trip took a total of 5 h how many kilometers did she travel? I n

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Question 591436: holly took a 1900km trip traveling by bus and plane. The bus averaged 60km/h and the plane averaged 700 km/h if the trip took a total of 5 h how many kilometers did she travel? I need to answer this using two variables x and Y.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +y+ = km traveled by bus
+1900+-+y+ = km traveled by plane
Let +x+ = time spent on bus
+5+-+x+ = time spent on plane
----------------------------
Equation for bus:
(1) +y+=+60x+
Equation for plane:
(2) +1900+-+y+=+700%2A%28+5+-+x+%29
--------------------------
(2) +1900+-+y+=+3500+-+700x+
(2) +-y+=+-700x+%2B+3500+-+1900+
(2) +-y+=+-700x+%2B+1600+
(2) +y+=+700x+-+1600+
Substitute (1) into (2)
(2) +60x+=+700x+-+1600+
(2) +640x+=+1600+
(2) +x+=+2.5+
-------------
(1) +y+=+60%2A2.5+
(1) +y+=+150+
and
+1900+-+y+=+1900+-+150+
+1900+-+y+=+1750+
Holly traveled 150 km by bus and 1750 km by plane
check:
(2) +1900+-+y+=+700%2A%28+5+-+x+%29
(2) +1750+=+700%2A%28+5+-+2.5+%29+
(2) +1750+=+3500+-+1750+
(2) +1750+=+1750+
OK
(1) +y+=+60x+
(1) +150+=+60%2A2.5+
(1) +150+=+150+
OK