How do you find the ordered pair that is the solution of equations y= -x-5 y= x+1?

1 Answer
smendyka
Jan 24, 2017

See the entire solution process below:

Explanation:

Step 1) Because the first equation is already solved in terms of #y#, substitute #color(red)(-x - 5)# into the second equation for #y# and solve for #x#:

#color(red)(-x - 5) = x + 1#

#color(red)(-x) + x - color(red)(5) = x + x + 1#

#0 - 5 = 2x + 1#

#-5 = 2x + 1#

#-5 - color(red)(1) = 2x + 1 - color(red)(1)#

#-6 = 2x + 0#

#-6 = 2x#

#-6/color(red)(2) = (2x)/color(red)(2)#

#-3 = (color(red)(cancel(color(black)(2)))x)/cancel(color(red)(2))#

#-3 = x#

#x = -3#

Step 2) Substitute #color(red)(-3)# for #x# in the first equation and solve for #y#:

#y = -color(red)(-3) - 5#

#y = 3 - 5#

#y = -2#

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