How do solve the following linear system?: # 7x-2y=8 , 5x+2y=4 #?

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Answer 1 · 2015-11-28T03:34:15

Answer: #(1, -1/2)#

Eq. 1 : #7x -2y = 8#

Eq. 2: #5x+2y = 4#

We can add both equations

#(7x-2y)+color(red)(5x+2y)= 8+4#

#12x= 12# #=> color(blue)(x= 1#

Substitution #x= 1#

#7(1)-2y= 8#

#7-2y= 8#

#-2y = 8- 7#

#-2y= 1 =>color(blue)( y = -1/2)#