How do you solve 3x=13+5y and 4x-7y-17=0?

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Answer 1 · 2018-05-04T11:45:09

Solution: # x=6 , y=1#

#3 x=13+5 y ; 4 x -7 y -17 =0# or

#3 x- 5 y = 13 (1) ; 4 x -7 y =17 (2)# Multiplying equation (1)

by #4# and equation (2) by #3# we get ,

#12 x- 20 y = 52 (3) ; 12 x -21 y =51 (4)# Subtracting equation

(4) from equation (3) we get, # y = 1# Putting #y=1# in equation

(1) we get, #3 x - 5 * 1= 13 or 3 x = 18 :. x =6#

Solution: # x=6 , y=1# [Ans]