1.
Create a linear system to model this situation: A rectangular field is \(35\text{ m}\) longer than it is wide. The length of the fence around the perimeter of the field is \(290\text{ m}\).
2.
Use an elimination strategy to solve this linear system: \(3x - 2y = 5\) and \(2x + 7y = 20\).
3.
Create a linear system to model this situation: A collection of nickels and dimes contains four times as many dimes as nickels. The total value of the collection is \(\$20.25\).
4.
Create a linear system to model this situation: The perimeter of an isosceles triangle is \(36\text{ cm}\). The base is \(9\text{ cm}\) longer than each equal side.
5.
Match each situation to a linear system below. A. Length is \(6\text{ m}\) less than double the width. B. Width is one-half the length decreased by \(6\text{ m}\). C. Length decreased by \(6\text{ m}\) is double the width. i) \(2l + 2w = 163;\ l = 2w - 6\) ii) \(2l + 2w = 163;\ w = \frac{1}{2}(l - 6)\) iii) \(2l + 2w = 163;\ 2w = l - 6\)
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