6x + 3y + 6y - 2x = (6x - 2x) + (3y + 6y) = 4x + 9y
2x + 3y + 4x + 9y = 2x + 4x + 3y + 9y = 6x + 12y which can be simplified to 6(x + 2y)
2X + 6Y = 12 3X + 9Y = 18 try elimination - 3(2X + 6Y = 12) 2(3X + 9Y = 18) - 6X - 18Y = - 36 6X + 18Y = 36 ================= I will say this system is dependent and an infinite number of solutions can be found.
5x-4y+9y+x-9+7 = 5x + x - 4y + 9y - 9 + 7 = 6x + 5y - 2 ■
6x + 3 = 2x + 5 4x = 2 x=1/2
6x + 3y + 6y - 2x = (6x - 2x) + (3y + 6y) = 4x + 9y
2x + 3y + 4x + 9y = 2x + 4x + 3y + 9y = 6x + 12y which can be simplified to 6(x + 2y)
2X + 6Y = 12 3X + 9Y = 18 try elimination - 3(2X + 6Y = 12) 2(3X + 9Y = 18) - 6X - 18Y = - 36 6X + 18Y = 36 ================= I will say this system is dependent and an infinite number of solutions can be found.
This system is inconsistent. There is no solution. 2x - 3y = 5 -6x + 9y = 12 Multiply the top equation by 3: 6x - 9y = 15 add the two equations together: 6x - 6x - 9y + 9y = 5 + 12 0 = 17 Which is a contradiction. Therefore the lines never intersect, and the solution is the empty set.
2x+92+6x
x + 2x + 6x = 9x
2x + 6x + 4x = 12x
5x + x - 6x + 2x = 2x
6x + 9 + 2x = 8x + 9
-2x + 11 + 6x = 4x + 11
6x
2x + 9 = 6x + 1 9 - 1 = 6x - 2x 8 = 4x x = 2