Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

Published by Pearson
ISBN 10: 0-32184-874-8
ISBN 13: 978-0-32184-874-1

Chapter 8 - Systems of Linear Equations and Problem Solving - 8.1 Systems of Equations in Two Variables - 8.1 Exercise Set - Page 507: 27

Answer

$(3,-7)$
1564782582

Work Step by Step

Alphabetical order: s on the horizontal axis, t on the vertical. Graphing $t+2s=-1$ Set $t=-1 \Rightarrow s=0 \qquad $... $(0,-1)$ Set $t=3 \Rightarrow s=-2 \qquad $... $(-2,3)$ Graphing $s=t+10$ Set $s=6 \Rightarrow t=-4 \qquad $... $(6,-4)$ Set $s=5 \Rightarrow t=-5 \qquad $... $(5,-5)$ Graphically solving: $s=3,\ t=-7$. Checking:$\qquad \left\{\begin{array}{lll} -7+2(3) =-1 & & \\ & & \\ 3=-7+10 & & \end{array}\right.$ both equations are satisfied, $(3,-7)$ is the solution.
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