SOLUTION: Find three consecutive integers such that the sum of the first and half the third is 16 more than the second.

Algebra ->  Problems-with-consecutive-odd-even-integers -> SOLUTION: Find three consecutive integers such that the sum of the first and half the third is 16 more than the second.      Log On


   

Question 828170: Find three consecutive integers such that the sum of the first and half the third is 16 more than the second.
Answer by TimothyLamb(4379) About Me  (Show Source):
You can put this solution on YOUR website!
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z = x + 2
y = x + 1
x + (1/2)z = y + 16
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put the system of linear equations into standard form:
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x - z = -2
x - y = -1
x - y + 0.5z = + 16
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copy and paste the above linear system in standard form into this matrix-method solver:
https://sooeet.com/math/system-of-linear-equations-solver.php
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solution:
x = 32
y = 33
z = 34
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system matrix
1 0 -1
1 -1 0
1 -1 0.5
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inverse of system matrix
1 -2 2
1 -3 2
0 -2 2
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determinant of system matrix = -0.5
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Solve quadratic equations, quadratic formula:
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Solve systems of linear equations up to 6-equations 6-variables:
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