y = 4 x + 1 4 y = 15 x - 8 The solution to the given system of

Question

y = 4 x + 1 4 y = 15 x - 8 The solution to the given system of equations is x , y . What is the value of x - y ?

Accepted Answer

The correct answer is 35 . The first equation in the given system of equations defines y as 4 x + 1 . Substituting 4 x + 1 for y in the second equation in the given system of equations yields 4 4 x + 1 = 15 x - 8 . Applying the distributive property on the left-hand side of this equation yields 16 x + 4 = 15 x - 8 . Subtracting 15 x from each side of this equation yields x + 4 = - 8 . Subtracting 4 from each side of this equation yields x = - 12 . Substituting - 12 for x in the first equation of the given system of equations yields y = 4 - 12 + 1 , or y = - 47 . Substituting - 12 for x and - 47 for y into the expression x - y yields - 12 - - 47 , or 35 .

Question y-4-x-