6x + 3y + 6y - 2x = (6x - 2x) + (3y + 6y) = 4x + 9y
3x + 6y = 5 -6x + 9y = 4 multiply by 2 the first equation 2(3x + 6y = 5) -6x + 9y = 4 6x + 12y = 10 -6x + 9y = 4 add both equations 21y = 14 divide by 21 to both sides y = 14/21 simplify y = 2/3 3x + 6y = 5 replace 2/3 with x 3(2/3) + 6y = 5 2 + 6y = 5 subtract 2 to both sides 6y = 3 divide by 6 to both sides y = 1/2 Thus, the solution point is (1/2, 2/3).
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.
x = 6 and y = -2
It is: 3x+4
Collect like terms: 3x - x + 4x - 4y + 6y + 2 = 6x + 2y + 2
6x + 3y + 6y - 2x = (6x - 2x) + (3y + 6y) = 4x + 9y
-x+3y+6x-6y=5x-3y
3x + 6y = 5 -6x + 9y = 4 multiply by 2 the first equation 2(3x + 6y = 5) -6x + 9y = 4 6x + 12y = 10 -6x + 9y = 4 add both equations 21y = 14 divide by 21 to both sides y = 14/21 simplify y = 2/3 3x + 6y = 5 replace 2/3 with x 3(2/3) + 6y = 5 2 + 6y = 5 subtract 2 to both sides 6y = 3 divide by 6 to both sides y = 1/2 Thus, the solution point is (1/2, 2/3).
4x+6y=62 -6x+6y=-18 what is the ordered pair
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.
x = 6 and y = -2
3x-6y=-8
One answer is : 6x+6y + wx+wy = (6+w)x + (6+w)y.
(0,7)
6x
6y = 3x + 4 y = 3/6x + 4/6 or y = x/2 + 2/3