6x-2x-6xy-2x-2y4x-2y=2x-2y-14xy
The common factor is 2.
-2x=2y+5 +2x -2y -2y=2x+5 /-2 y=-1/1+2.5
Any pair of numbers where the 'y' is 5 more than the 'x'. There are an infinite number of suitable pairs. 2y-2x=10 2y-2x+2x=10+2x 2y=2x+10 divide both side by 2. y=x+5
The equation "x plus 2y equals 5" is: x + 2y = 5 2y = 5 - x y = 5/2 - 1/2x y = -1/2x + 5/2
x + y = -4x - y = 2x - y = 2x + y - y = 2 + yx = 2 + yx + y = -42 + y + y = -42 + 2y = -42 - 2 + 2y = -4 - 22y = -62y/2 = -6/2y = -3x = 2 + yx = 2 - 3x = -1The solution of the system is (-1, -3)
2x+2y
4x+3y-2x+y 4x-2x+3y+y 2x+4y Taking out 2 common 2(x+2y) Hence the required answer is 2(x+2y)
Notice that you have a common factor of 2 in both of these terms. So, you can factor out 2 out of each term and have a product: 2x + 2y = 2(x+y)
-2x+2y
2y = 6 4x y=3 + 2x y= 2x + 3
-2x - 2y = -122x + 2y = 122y = 12 - 2xy = 6 - x