SOLUTION: the ratio of length and breadth of rectangle is 5:3.Find l and b if perimeter is 256

Question 826245: the ratio of length and breadth of rectangle is 5:3.Find l and b if perimeter is 256
Answer by TimothyLamb(4379) (Show Source): You can put this solution on YOUR website!
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x = length
y = breadth
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x/y = 5/3
3x = 5y
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2x + 2y = 256
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linear system:
3x = 5y
2x + 2y = 256
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put the system of linear equations into standard form:
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3x - 5y = 0
2x + 2y = 256
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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 = length = 80
y = breadth = 48
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system matrix
3 -5
2 2
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inverse of system matrix
0.125 0.3125
-0.125 0.1875
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determinant of system matrix = 16
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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 6-equations 6-variables:
https://sooeet.com/math/system-of-linear-equations-solver.php
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