(PLEASE ANSWER!!) a college student completed some courses worth 4 credits and some courses worth 3 credits. the student earned a total of 59 credits after completing 18 courses. how many courses worth 3 credits did the student complete?

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absor201 absor201 · Answer 1 · 2019-12-17T09:06:48+01:00

The college student took 13 courses of 3 credit hours.

Step-by-step explanation:

Given,

Total credits = 59

Total courses = 18

Let,

Number of 3 credit hour courses = x

Number of 4 credit hour courses = y

According to given statement;

x+y=18 Eqn 1

3x+4y=59 Eqn 2

We will eliminate y to find the number of 3 credit hour courses, therefore,

Multiplying Eqn 1 by 4

[tex]4(x+y=18)\\4x+4y=72\ \ \ Eqn\ 3[/tex]

Subtracting Eqn 2 from Eqn 3

[tex](4x+4y)-(3x+4y)=72-59\\4x+4y-3x-4y=13\\x=13[/tex]

The college student took 13 courses of 3 credit hours.

Keywords: linear equation, subtraction

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goatdog goatdog · Answer 2 · 2020-12-18T16:39:33+01:00

Answer:

13

Step-by-step explanation:

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