SOLUTION: The perimeter of a parallelogram is 26 cm.The smaller side is 5cm long.find the length of its greater side.

Question 828103: The perimeter of a parallelogram is 26 cm.The smaller side is 5cm long.find the length of its greater side.
Answer by TimothyLamb(4379) (Show Source): You can put this solution on YOUR website!
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2x + 2y = 26
x = 5
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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 by matrix method:
x = 5 cm
y = 8 cm
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system matrix
2 2
1 0
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inverse of system matrix
0 1
0.5 -1
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determinant of system matrix = -2
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now by substitution method:
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2x + 2y = 26
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x = 5
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2(5) + 2y = 26
10 + 2y = 26
2y = 16
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y = 8
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solution by substitution method:
x = 5 cm
y = 8 cm
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both methods agree.
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