SOLUTION: A rectangle has a perimeter P of 14 feet, and twice its length l is equal to 1 less than 4 times its width w. Write and solve a system of linear equations to find the length and th

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Question 850538: A rectangle has a perimeter P of 14 feet, and twice its length l is equal to 1 less than 4 times its width w. Write and solve a system of linear equations to find the length and the width of the rectangle.
Answer by josgarithmetic(39618)   (Show Source): You can put this solution on YOUR website!
Given: Rectangle, perimeter P;
x is length
y is width
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x=-1+4y,
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UNKNOWNS: x and y.

IMPORTANT FACT
Perimeter for a rectangle, 2L+2W.

The current exercise in this solution uses x instead of L and y instead of W.
We are given P already.


and .
Solve for x and y. Substitution would be a good way.
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Use the formula for y to make and simplify the formula for x.


That might be good as is, or...




----Yes, this form is better.
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SUMMARY: Length, , and width,

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