The student completed 13 courses with 3 credit hours.
Step-by-step explanation:
Total credit hours = 59 credits hours
Total courses = 18
Let,
3 credit hours courses = x
4 credit hours courses = y
According to statement;
x+y=18 Eqn 1
3x+4y=59 Eqn 2
Multiplying Eqn 1 by 3
[tex]3(x+y=18)\\3x+3y=54\ \ \ Eqn\ 3[/tex]
Subtracting Eqn 3 from Eqn 2
[tex](3x+4y)-(3x+3y)=59-54\\3x+4y-3x-3y=5\\y=5[/tex]
Putting y=5 in Eqn 1
[tex]x+5=18\\x=18-5\\x=13[/tex]
The student completed 13 courses with 3 credit hours.
Keywords: linear equation, elimination method
Learn more about linear equations at:
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