Algebra 1

Published by Prentice Hall
ISBN 10: 0133500403
ISBN 13: 978-0-13350-040-0

Entry Level Assessment - Multiple Choice - Page XXXIV: 1

Answer

We have x + y = -6 x - y = 6 If we add these two together we get 2x = 0 x = 0 Substituting the value 0 for x into either of the original expressions gives: y = -6 so the point (0, -6) is the only one at which the two lines intersect. What we have are two lines, one with slope 1 and the other with slope -1, but both of which have the y-intercept -6. In general, guys, if you find yourself having trouble with these sorts of problems, one of the easiest things you can do is the graph the equations on the same pair of coordinate axes.

Work Step by Step

We have x + y = -6 x - y = 6 If we add these two together we get 2x = 0 x = 0 Substituting the value 0 for x into either of the original expressions gives: y = -6 so the point (0, -6) is the only one at which the two lines intersect. What we have are two lines, one with slope 1 and the other with slope -1, but both of which have the y-intercept -6. In general, Caitlin, if you find yourself having trouble with these sorts of problems, one of the easiest things you can do is the graph the equations on the same pair of coordinate axes.
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