How do you solve the simultaneous equations #5x/8 + 7y/18 = 6# and #3x - y = 3#?

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Answer 1 · 2015-07-22T19:08:56

#(x,y) \in {(4,9)}#

#3x - 3 = y#

#5/8 x + 7/18 (3x - 3) = 6#

#5/8 x * 24 + 7/6 (x - 1) * 24 = 6 * 24#

#15 x + 28(x - 1) = 144#

#15 x + 28x = 144 + 28#

#x = 172/43 = 4#

#y = 3 * 4 - 3#