What adds(+) to make -5 and times(x) to make -6?

1 Answer
Jan 16, 2018

#-6, 1#

Explanation:

#1 + -6 = 1-6 = -5#

#1 * -6 = -6#

on a graph:

desmos.com/calculator

the equation for the blue curves is #xy = -6#
the equation for the red line is #x+y = -5#

where these two lines meet, #x# and #y# are two variables that add to #-5# and multiply to become #-6#.

the points of intersection of these graphs have #x# and #y# coordinates which mean that the two equations are simultaneously true.

when #x=-6# and #y=1#, #x+y=-5# and #xy = -6#.
when #x=1# and #y=-6#, #x+y=-5# and #xy = -6#.

in both cases, the two variables are #-6# and #1#.