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

Algebra ->  Customizable Word Problem Solvers  -> Age -> 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      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



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) About Me  (Show Source):
You can put this solution on YOUR website!
---
x = father
y = son
---
x - 2 = 3(y - 2)
2(x + 2) = 5(y + 2)
---
put the system of linear equations into standard form
---
x - 2 = 3y - 6
2x + 4 = 5y + 10
---
x - 3y = -4
2x - 5y = 6
---
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
---
solution:
x = father = 38
y = son = 14
---
system matrix
1 -3
2 -5
---
inverse of system matrix
-5 3
-2 1
---
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