SOLUTION: [ The perimeter of parallelogram is 102 cm. If the length of one side is greater than another side by 9 cm find the length of all sides of the parallelogram ]
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Question 825265: [ The perimeter of parallelogram is 102 cm. If the length of one side is greater than another side by 9 cm find the length of all sides of the parallelogram ]
Answer by TimothyLamb(4379) (Show Source): You can put this solution on YOUR website!
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2x + 2y = 102
x = y + 9
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put the system of linear equations into standard form
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2x + 2y = 102
x - y = 9
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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 = two opposite sides are 30 cm each
y = the other two sides are 21 cm each
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system matrix
2 2
1 -1
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inverse of system matrix
0.25 0.5
0.25 -0.5
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determinant of system matrix = -4
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Solve systems of linear equations up to 6-equations 6-variables:
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