Question

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Writing and Solving System of Equations for Word Problems

Write a system of two equations to represent the situations. Define your variables (like let x = and y =) and solve the equations. You may use substitution or elimination methods. SHOW ALL WORK

Answer 1

Answer:x=4, y=4

Explanation:

2)

Let x = dress pants

let y = jeans

equation 1: x+y = 8

equation 2: 70x+20y=360

First step: isolate x: x=8-y

Second step: Plug in x to the other equation: 70(8-y)+20y = 360

Simplify: 560-70y + 20y = 360, 560-50y = 360, -50y = -200, y=4

Plug in first equation for x: x+4=8, c=4

result: x = 4; y=4