The answer is: [A]: "No solution" . _______________________________________________ Note: Given: _______________________________________________ y = 4x + 8 ; y = 4x + 2 ; _______________________________________________
Since: "y = y" ;
4x + 8 = 4x + 2 ; which is not true; ______________________________ 4x + 8 ≠ 4x + 2 ; since, "8 ≠ 2" ;
Note: Suppose: "4x + 8 = 4x + 2" ;
→ Subtract "4x" from each side of the equation:
4x + 8 − 4x = 4x + 2 − 4x ;
to get: _________________ " 8 = 2 " ; not true ; since "8 ≠ 2" ; ______________________________ Also, suppose: _______________________________ 4x + 8 = 4x + 2 ;
→ Subtract "2" from BOTH SIDES of the equation;
4x + 8 − 2 = 4x + 2 − 2 ;
to get:
4x + 6 = 4x
(Note: "4x + 0 = 4x" ; but "4x + 6 ≠ 4x") l
But even if we have:
4x + 6 = 4x ;
→ Subtract "4x" from EACH side of the equation:
4x + 6 − 4x = 4x − 4x ;
to get:
6 = 0 ; which is not true; "6 ≠ 0" . ____________________________________ The correct answer is: [A]: "No solution" . ______________________________________
