Use the method of elimination to solve the system of linear

Use the method of elimination to solve the system of linear equations.

x-14y=28

x-y^2-27y=70

Solution

Dear Student Thank you for using Chegg x-14y = 28 (1) x - y^2-27y = 70 (2) Eliminating x from equation (1) we get x = 14y + 28 (3) Substituting equation(3) in equation(2) we get 14y + 28 - y^2 - 27y = 70 Arranging we get y^2 + 13y +42=0 Factorizing 42 such that the sum of factors is 13 gives factors as 7 and 6 hence the equation can be written as (y+ 7)(y+6) = 0 y = -6,-7 Correspondingly when y = -6 x = 14*(-6) + 28 x= -56 when y = -7 x = 14*(-7) + 28 x= -70