Intermediate Algebra (6th Edition)

Published by Pearson
ISBN 10: 0321785045
ISBN 13: 978-0-32178-504-6

Chapter 4 - Review - Page 249: 2

Answer

$(0, 2/3)$ Please see the graph.

Work Step by Step

$y=1/2x+2/3$ $4x+6y=4$ Substitution $4x+6y=4$ $4x+6(1/2*x+2/3)=4$ $4x+3x+4=4$ $7x+4=4$ $7x+4-4=4-4$ $7x=0$ $7x/7=0/7$ $x=0$ $y=1/2x+2/3$ $y=1/2*0+2/3$ $y=0+2/3$ $y=2/3$ Elimination $y=1/2x+2/3$ $-6*y=-6*(1/2x+2/3)$ $-6y = -3x-4$ $-6y+3x+4=-3x-4+3x+4$ $-6y+3x+4 =0$ $4x+6y=4$ $4x+6y-4=4-4$ $4x+6y-4=0$ $4x+6y-4+(-6y+3x+4)=0+0$ $4x+6y-4-6y+3x+4=0$ $7x=0$ $7x/7=0/7$ $x=0$ $y=1/2x+2/3$ $y=1/2*0+2/3$ $y=0+2/3$ $y=2/3$
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