SOLUTION: [ If Jason were 57 less than 6 times his present age, he would be 3 times as old as he was 4 years ago. how old is he? ]

Algebra ->  Customizable Word Problem Solvers  -> Age -> SOLUTION: [ If Jason were 57 less than 6 times his present age, he would be 3 times as old as he was 4 years ago. how old is he? ]      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 826268: [ If Jason were 57 less than 6 times his present age, he would be 3 times as old as he was 4 years ago. how old is he? ]
Answer by TimothyLamb(4379) About Me  (Show Source):
You can put this solution on YOUR website!
---
x = Jason's age now
y = Jason's age (hypothetical)
---
y = 6x - 57
y = 3(x - 4)
y = 3x - 12
---
put the system of linear equations into standard form:
---
6x - y = 57
3x - y = 12
---
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 = Jason's age now = 15
y = Jason's age (hypothetical) = 33
---
system matrix
6 -1
3 -1
---
inverse of system matrix
0.33333333 -0.33333333
1 -2
---
determinant of system matrix = -3
---
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 6-equations 6-variables:
https://sooeet.com/math/system-of-linear-equations-solver.php