How do you complete each ordered pair (_, -10) so that it is a solution to 6x - y = 7?

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Answer 1 · 2017-04-11T17:08:49

See the entire solution process below:

Substitute #color(red)(-10)# for #color(red)(y)# in the equation and solve for #x# to find the first value in the ordered pair:

#6x - color(red)(y) = 7# becomes:

#6x - color(red)(-10) = 7#

#6x + color(red)(10) = 7#

#6x + color(red)(10) - 10 = 7 - 10#

#6x + 0 = -3#

#6x = -3#

#(6x)/color(red)(6) = -3/color(red)(6)#

#(color(red)(cancel(color(black)(6)))x)/cancel(color(red)(6)) = -1/2#

#x = -1/2#

The ordered pair is: #(-1/2, -10)#