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Solve the following system of linear equations: 3s + 2d = 1680, 4s + 5d = 3360.

Mathematics

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: Skirts and Dresses

Step 1: Define variables and set up equations.
Let ss be the cost of one skirt and dd be the cost of one dress.
From the problem statement, we can form two linear equations:

3s+2d=1680(Equation 1)3s + 2d = 1680 \quad \text{(Equation 1)} 4s+5d=3360(Equation 2)4s + 5d = 3360 \quad \text{(Equation 2)}

Step 2: Solve the system of equations using elimination.
To eliminate dd, multiply Equation 1 by 5 and Equation 2 by 2:

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