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What is the solution to the following system?

What is the solution to the following system?-example-1

2 Answers

2 votes
the solution is { 20,4,5}
User Fingerpich
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4 votes
3x + 10y - 12z = 40
x - 5y = 0.....x = 5y.....1/5x = y
x - 4z = 0.....x = 4z.....1/4x = z

3x + 10(1/5x) - 12(1/4x) = 40
3x + 2x - 3x = 40
2x = 40
x = 40/2
x = 20

1/5x = y
1/5(20) = y
4 = y

1/4x = z
1/4(20) = z
5 = z

solution is { 20,4,5}

User GaryFurash
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8.1k points