SOLUTION: the difference between the length and width of a rectangle is 7 centimeters. FInd the dimensions of the rectangle if its perimeter is 50 centimeters.

Question 925976: the difference between the length and width of a rectangle is 7 centimeters. FInd the dimensions of the rectangle if its perimeter is 50 centimeters.
Answer by TimothyLamb(4379) (Show Source): You can put this solution on YOUR website!
x = length
y = width
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L - w = 7
2L + 2w = 50
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put the system of linear equations into standard form
---
x - y = 7
2x + 2y = 50
---
copy and paste the above standard form linear equations in to this solver:
https://sooeet.com/math/system-of-linear-equations-solver.php
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solution:
x = length = 16 cm
y = width = 9 cm
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by substitution:
---
x - y = 7
2x + 2y = 50
---
x = 7 + y
2(7 + y) + 2y = 50
14 + 2y + 2y = 50
4y = 36
y = 9
x = 7 + 9
x = 16
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solution:
x = length = 16 cm
y = width = 9 cm
---
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