Solve the system of equations by substitution. What is the solution for x?. . 2x + y = 1 . 4x + 2y = −2

x= 2 and y= -5 .......................

2 x + y = 1 4 x + 2 y = - 2 --------------------- y = - 2 x + 1  ( 1st equation ) 4 x + 2 ( - 2 x + 1 ) = -2 4 x - 4 x + 2 = - 2 0 x = - 4 x ∈ ∅ ,  y ∈ ∅ The system is inconsistent and there are no solutions.