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2x-3y=4
-4x+6y=-8.
solve by elimination

Sagot :

naǫ
[tex]2x-3y=4 \\ -4x+6y=-8 \ \ \ |\div 2 \\ \\ 2x-3y=4 \\ \underline{-2x+3y=-4} \\ 2x-2x-3y+3y=4-4 \\ 0=0 \\ \\ \boxed{\hbox{infinitely many solutions}}[/tex]
  2x - 3y = 4   ⇒ -4x + 6y = -8
-4x + 6y = -8 ⇒ -4x + 6y = -8
                                    0y = 0
                                    0      0
                                      y = 0
                           2x - 3(0) = 4
                               2x - 0 = 4
                                    +0   +0
                                     2x = 4
                                     2      2
                                      x = 2
                                (x, y) = (2, 0)