Algebra 1

Published by Prentice Hall

Chapter 6 - Systems of Equations and Inequalities - 6-3 Solving Systems Using Elimination - Practice and Problem-Solving Exercises - Page 378: 18

(3,4)

Work Step by Step

Multiply the first equation by 2. Multiply the second equation by -3. Add the equations to eliminate x. $3x+2y=17\ \ \ \$multiply by 2$\ \ \ \ \ \ \ 6x+\ 4y=\ \ \ 34$ $2x+5y=26\ \ \ \$multiply y -3$\ \ \ \ \underline{-6x-15y=-78}$ $\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ -11y=-44$ Solve for y. $-11y=-44$ $-11y\div-11=-44\div-11$ $y=4$ Substitute 4 for y in either equation and solve for x. $3x+2(4)=17$ $3x+8-8=17-8$ $3x=9$ $3x\div3=9\div3$ $x=3$

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