Question #b5882

1 Answer
Apr 10, 2017

Answer:

#x=-22/13# and #y=-29/13#

Explanation:

Ill do the first one as an example,

#x-3y=5# and #3x+7y=1#

The goal is to eliminate one of the variables so it is possible to solve for the other,

#x-3y=5# equation 1
#3x+7y=1# equation 2

Multiply the first equation by #3#, and subtract the first equation from the second equation.

#3x-6y=30#
#3x+7y=1#

Subtracting the equations gives you,

#-13y=29#
#y=-29/13#

Now knowing #y=-29/13#, you can solve for #x#. Do so by subsituting the value for #y# into equation 1.

#x-3(-29/13)=5#
#x+87/13=5#
#x=5-87/13#
#x=-22/13#

Therefore,

#x=-22/13# and #y=-29/13#