SOLUTION: In 5 years jenny will be two thirds as old as her aunt. Three years ago she was half as old as her aunt is now. How old are jenny and her aunt now?

Question 825446: In 5 years jenny will be two thirds as old as her aunt. Three years ago she was half as old as her aunt is now. How old are jenny and her aunt now?
Answer by TimothyLamb(4379) (Show Source): You can put this solution on YOUR website!
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x = jenny
y = aunt
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(x + 5) = (2/3)(y + 5)
(x - 3) = (1/2)y
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put the system of linear equations into standard form
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x + 5 = (2/3)y + 10/3
x - 3 = (1/2)y
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x - (2/3)y = 10/3 - 15/3
x - (1/2)y = 3
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x - (2/3)y = -5/3
x - (1/2)y = 3
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3x - 2y = -5
2x - y = 6
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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 = jenny = 17
y = aunt = 28
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system matrix
3 -2
2 -1
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inverse of system matrix
-1 2
-2 3
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determinant of system matrix = 1
---
Solve and graph linear equations:
https://sooeet.com/math/linear-equation-solver.php
---
Solve quadratic equations, quadratic formula:
https://sooeet.com/math/quadratic-formula-solver.php
---
Solve systems of linear equations up to 4-equations 4-variables:
https://sooeet.com/math/system-of-linear-equations-solver.php

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