SOLUTION: Write a system of two equations in two variables to solve the problem.
On a mother's 23-mile commute to work, she drops her daughter off at a child care center. The first part o
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On a mother's 23-mile commute to work, she drops her daughter off at a child care center. The first part o
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Question 1153846: Write a system of two equations in two variables to solve the problem.
On a mother's 23-mile commute to work, she drops her daughter off at a child care center. The first part of the trip is 5 miles less than the second part. How long is each part of her morning commute?
first part
mi
second part
m Found 2 solutions by MathLover1, ikleyn:Answer by MathLover1(20850) (Show Source):
You can put this solution on YOUR website!
On a mother's 23-mile commute to work, she drops her daughter off at a child care center.
The first part of the trip is miles less than the second part.
.......eq.1
total of her trip:
.......eq.2
substitute from eq.1 in eq.2
.......eq.2
go to
.......eq.1, plug in
How long is each part of her morning commute?
first part is
second part is
Let x be the first part distance, in miles; let y be the second part distance.
Then your system of equations can be written in this form
x + y = 23 (1) (miles total)
x = y - 5 (2) (The first part of the trip is 5 miles less than the second part)
or in this form
x + y = 23 (1) (miles total)
x - y = 5 (2) (The first part of the trip is 5 miles less than the second part)
Both forms are equivalent.
First form is just ready for the solution by the Substitution method.
While the second form is just ready for the solution by the Elimination method.
You may use ANY of these two forms and/or ANY of these two possible solution methods.
