How do you solve the following system?: #17x +19y =14, -7x +15y = -22#

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Answer 1 · 2017-10-27T21:42:15

#y = -0.71#
#x = 1.62#

#17x+19y=14#
#-7x+15y=-22#

Using one of the equations, make either #x# or #y# the subject.

#17x+19y=14 -> 17x = 14-19y#

#x = (14-19y)/17#

Then inject this in place of the #x# in the second equation to calculate #y#.

#-7((14-19y)/17) +15y = -22#

Multiply out the bracket.

#(-98+133y)/17 + 15y = -22#

Multiply everything by #17# to get rid of fractions.

#-98 + 133y +255y = -374#

Now calculate #y#.

#388y = -276#

#y = -276/388#

#y = -0.71#

Now substitute the calculated #y# value into the rearranged equation to calculate #x#.

#x = (14-19(-0.71))/17#

#x = 1.62#