SOLUTION: two years ago father was three times as old as his son and two years hence twice his age will be equal to five times that of his son find there present ages

Question 825481: two years ago father was three times as old as his son and two years hence twice his age will be equal to five times that of his son find there present ages
Answer by TimothyLamb(4379) (Show Source): You can put this solution on YOUR website!
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x = father
y = son
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x - 2 = 3(y - 2)
2(x + 2) = 5(y + 2)
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put the system of linear equations into standard form
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x - 2 = 3y - 6
2x + 4 = 5y + 10
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x - 3y = -4
2x - 5y = 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 = father = 38
y = son = 14
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system matrix
1 -3
2 -5
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inverse of system matrix
-5 3
-2 1
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determinant of system matrix = 1
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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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