A college some completed some courses worth 3 credits and some courses worth 4 credits. The students earned a total of 59 credit

Question

4 years ago

14

s after completing 18 courses. How many courses worth 3 credits did the student complete?

1 answer:

Law Incorporation [45] · Answer 1 · 2022-03-01T06:43:34+03:00

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

$3(x+y=18)\\3x+3y=54\ \ \ Eqn\ 3$

Subtracting Eqn 3 from Eqn 2

$(3x+4y)-(3x+3y)=59-54\\3x+4y-3x-3y=5\\y=5$

Putting y=5 in Eqn 1

$x+5=18\\x=18-5\\x=13$

The student completed 13 courses with 3 credit hours.

Keywords: linear equation, elimination method

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