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vaieri [72.5K]
4 years ago
6

Solve this linear system. 2.4 = 0.3 x + 0.4y 5x = 2 + 6y

Mathematics
1 answer:
hammer [34]4 years ago
8 0
\left \{ {{2.4 = .3x + .4y} \atop {5x = 2 + 6y}} \right.

5x = 2 + 6y
Divide both sides by 5
x = 6/5y + 2/5

Input in the other equation.

2.4 = .3(6/5y + 2/5) + .4y
2.4 = .36y + .12 + .4y
2.4 = .76y + .12
Subtract .12 from both sides.
2.28 = .76y
Divide both sides by .76
3 = y

x = 6/5(3) + 2/5
x = 18/5 + 2/5
x = 20/5 = 4

(4, 3)
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Every student in the senior class is taking history or science and 85 of them are taking both. If there are 106 seniors taking h
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Number of students in senior class is 130

<em><u>Solution:</u></em>

Given that Every student in the senior class is taking history or science

85 of them taking both history and science

106 seniors takes history

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To find: number of students in senior class

Let A be the set of the students of the senior class that take history

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The number of students in senior class is given by:

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