solving systems of equations with 2 variables word problems (perimeter)
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Solving systems of equations with 2 variables
Word problems(Perimeter)
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6)The perimeter of a rectangle is 46 feet. The length is 3 ft more than the width. Find the length and width.
The perimeter of a rectangle is 46 2L + 2W = 46
The length is 3 ft more than the width. L = W + 3
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6)The perimeter of a rectangle is 46 feet. The length is 3 ft more than the width. Find the length and width.
2L + 2W = 46 L = W + 3
Which method should be used to solve this system of equations?
a) Substitution Method b) Elimination (Addition) Method
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6)The perimeter of a rectangle is 46 feet. The length is 3 ft more than the width. Find the length and width.
2L + 2W = 46 L = W + 3
2(W + 3) + 2W = 46
2W + 6 + 2W = 46 4W + 6 = 46 4w + 6 + (-6) = 46 + (-6) 4W = 40 W = 10
Back substitution L = W + 3 L = 10 + 3 L = 13
The length is 13 ft and the width is 10 ft.
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7)The perimeter of a rectangle is 50 feet. The width is 4 times the length. Find the length and width.
2L + 2W = 50 W = 4L
2L + 2(4L) = 50
2L + 8L = 50 10L = 50 L = 5
Back substitution W = 4L W = 4(5) W = 20
The length is 5 ft and the width is 20 ft.