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6.13: Equations with Letters Extras

Difficulty Level: At Grade Created by: CK-12

Extras for Experts - Equations with Letters – Write and Solve Equations

Solutions

1.8+x+x=16; x+x+y+y=18; x+y+y+z=20 x=4 pounds; y=5 pounds; z=6 pounds\begin{align*}1. \quad 8 + x + x = 16; \ x + x + y + y = 18; \ x + y + y + z = 20\!\\ {\;} \quad \ x = 4 \ \text{pounds}; \ y = 5 \ \text{pounds}; \ z = 6 \ \text{pounds}\end{align*}

2.11+y+y=17; y+z+z=17; x+x+y+z=20 x=5 pounds; y=3 pounds; z=7 pounds\begin{align*}2. \quad 11 + y + y = 17; \ y + z + z = 17; \ x + x + y + z = 20\!\\ {\;} \quad \ x = 5 \ \text{pounds}; \ y = 3 \ \text{pounds}; \ z = 7 \ \text{pounds}\end{align*}

3.10+z+z=20; y+y+z+z=18; x+x+y+z+z=26 x=6 pounds; y=4 pounds; z=5 pounds\begin{align*}3. \quad 10 + z + z = 20; \ y + y + z + z = 18; \ x + x + y + z + z = 26\!\\ {\;} \quad \ x = 6 \ \text{pounds}; \ y = 4 \ \text{pounds}; \ z = 5 \ \text{pounds}\end{align*}

Write equations. Figure out the weights of the blocks.

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Date Created:
Feb 23, 2012