How do you solve the following linear system: # 4x + 3y=31 , 17y = 2x+7 #?

1 Answer
Prof_S
Jan 11, 2016

#x=252/37# and #y=45/37#.

Explanation:

Multiply both sides of the second equation by 2 and add -4x to both sides to get #-4x+34y=14#. Add this equation to the first equation to get #37y = 45#. So, one gets #y=45/37#. Substituting this value of y into equation gives #4x + 135/37 = 31#. Multiplying both sides by 37 gives #148x + 135 = 1147# or #148x = 1012#. Dividing both sides by 4 gives #37x = 252#. So, #x = 252/37#.

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