The sum of 3 numbers is - 4. The second number decreased by the third is equal to the first. The sum of the first and second numbers is - 5. Write the system of equations and find the numbers.

Question

Hudson Freeman

Mathematics

13 November, 22:38

The sum of 3 numbers is - 4. The second number decreased by the third is equal to the first. The sum of the first and second numbers is - 5. Write the system of equations and find the numbers.

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Answers (1)

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Rocco Glover · Answer 1

A+b+c = - 4

b-c=a

a+b = - 5

you can substitute a+b for - 5.

-5+c = - 4

c=1

you can also substitute a for b-c and c for 1

b-c+b+c = - 4

2b = - 4

b = - 2

then substitute b for - 2

a-2 = - 5

a = - 3