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6.13: Equations with Letters Extras

Difficulty Level: At Grade Created by: CK-12
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Extras for Experts - Equations with Letters – Write and Solve Equations

Solutions

\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*}

\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*}

\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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CK.MAT.ENG.SE.1.Algebra-Explorations-K-7.6.13