Solve the following simultaneous equations?

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Answer 1 · 2017-10-18T07:57:20

#p=5,q=-2#

So, you have #[(5p-2q=9),(2p+5q=-8)]#

First we will remove the #p#s by multiplying each equation until the coefficients are the same.

#[(5p-2q=9),(2p+5q=-8)]times[(2),(5)]=[(10p-4q=18),(10p+25q=-40)]#

#[(10p-4q=18),(-" "10p+25q=-40)]=[-29q=58]#

#q=58/-29=-2#

Now we put our value for q into one of the original equations to get: #5p-2(-2)=9#
#5p+4=9#
#5p=5#
#p=5/5=1#

#p=5, q=-2#