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

1 Answer
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.