Substituition method
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1. Solve the system of equations & find the ordered pairs
x + 9y = 4 (1)
x = 5-9y (2)
2. Solve by the substitution method
4x+9y=60
x=69-9y
3. I am having trouble with two word problems:
a) Train A and B are traveling in the same direction on parallel tracks. Train A is traveling at 40mph and train B is traveling at 48 mph. Train A passes a station at 5:20 p.m. if train B passes the same station at 5:35 p.m. at what time will train B catch up to Train A?
b) The equation y= - 1777x + 27,153 can be used to predict the Number y of gun deaths in the United States x years after 2000 that is x corresponds to 2000, x=2 corresponds to 2002, x = 6 corresponds to 2006, and so on. Predict the number of gun deaths in 2006 and 2008. In what year will the gun death be 9383?
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Solution Summary
Solves the system of equations & find the ordered pairs.
Solution Preview
1. Solve the system of equations & find the ordered pairs
x + 9y = 4 (1)
x = 5-9y (2)
Substitute value of x from (2) into (1)
5 - 9y + 9y = 4
5 = 4
Which is not possible.
Thus there is NO SOLUTION.
2. Solve by the substitution method
4x+9y=60----(1)
x=69-9y------(2)
Substitute value of x from (2) into (1)
4(69-9y) + 9y = 60
276 - 36y + 9y = 60
-27y = 60 - 276
-27y = -216
y = ...
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