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

May 22, 2026Mathematics

ScanSolve AI Answer

May 22, 2026

Answer

1680 \quad \text{(Equation 1)}$$

Here are the solutions to the problems.

: Skirts and Dresses

Step 1: Define variables and set up equations. Let $s$ be the cost of one skirt and $d$ be the cost of one dress. From the problem statement, we can form two linear equations: $3s + 2d = 1680 \quad \text{(Equation 1)}$ $4s + 5d = 3360 \quad \text{(Equation 2)}$

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

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Quick Answer

Skirts and Dresses Step 1: Define variables and set up equations. Let s be the cost of one skirt and d be the cost of one dress.

Asked on May 22, 2026Mathematics

This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

ScanSolve AI AnswerAnswered on May 22, 2026

Here are the solutions to the problems. Problem 1: Skirts and Dresses Step 1: Define variables and set up equations. Let s be the cost of one skirt and d be the cost of one dress. From the problem statement, we can form two linear equations: 3s + 2d = 1680 (Equation 1) 4s + 5d = 3360 (Equation 2) Step 2: Solve the system of equations using elimination. To eliminate d, multiply Equation 1 by 5 and Equation 2 by 2: 5 × (3s + 2d) = 5