Algebra Math Number word problems using the linear system

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ovovn@hnvafgvghgr.be

Mathematics

Question Description

The sum of three numbers is 8. Twice the smallest is 2 less than the largest, while the sum of the largest and smallest is 5. Use a linear system in three variables to find the three numbers.

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Explanation & Answer

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Let x = the smallest number

Let y = the middle number

Let z = the largest number

then,

x+y+z = 8

2x = z - 2

x + z = 5

Using substitution,

2(5-z) = z - 2

10 - 2z = z - 2

3z = 12

z = 4

x = 5 - 4 = 1

y = 8 - 4 - 1 = 3

Please let me know if you need any clarification. I'm always happy to answer your questions.

IvapragN123 (2409)
Cornell University

Anonymous
I was struggling with this subject, and this helped me a ton!

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