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How do you solve the following system of equations?: #-9x + 6y = 2 , 4x+y=8#?

1 Answer

Mar 15, 2018

Solution: #x=46/33 , y=80/33#

Explanation:

#-9x+6y = 2 ; (1) , 4x+y=8 ; (2)# . Multiplying equation(2)

by #6# we get, #24x+6y=48 ; (3)#. Subtracting equation (1)

from equation(3) we get, #33x=46 or x =46/33#. Putting

# x =46/33# in equation (2) we get, # 4*46/33+y= 8 # or

# 184/33+y= 8 or y= 8-184/33 or y=(264-184)/33 # or

#y=80/33 #. Solution: #x=46/33 , y=80/33# [Ans]

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