-3x + 2y = 12-3x + 3x + 2y = 3x + 122y = 3x + 122y/2 = 3x/2 + 12/2y = (3/2)x + 6
-3x + 2y = -4There are lots of different ways to write it.Here are a few:-3x = -2y - 43x = 2y + 42y = 3x - 4-2y = -3x + 4x = 2y/3 + 4/3y = 3x/2 - 2
3x-2y=6 -2y=-3x+6 y=1.5x-3
4x + 2y = 12 3x - 2y = 9 Have to use simultaneous equations, so add together to get : 7x = 21 so x = 3 Put it into any part of the equation 4x3 + 2y = 12 12 + 2y = 12 2y = 0 y = 0, x = 3
Let's solve this by substitution. We're told: 3x + y = 9 6x = 4 - 2y Let's start with the second equation, and solve for y: 6x = 4 - 2y 3x = 2 - y 2 - 3x = y Now we can substitute it into the first equation, replacing all occurrences of y with 2 - 3x: 3x + (2 - 3x) = 9 2 = 9 Ah! That of course makes no sense, which tells us that the lines do not intersect at all, but are in fact parallel to each other. Let's confirm that by rearranging each of them into standard form: 3x + y = 9 y = 9 - 3x y = -3x + 9 6x = 4 - 2y y = 2 - 3x y = -3x + 7 So there you have it. Those expressions describe two lines that have a slope of 3 and a y position that differs by 2.
-3x + 2y = 9 2y = 3x + 9y = 1,5x + 4,5
3x+2y=9 2y=9-3x y=-1.5x-4.5
3x-2y+9+9y-x = 2x+7y+9
3x - 2y and 3x + 2y are in their simplest form. They don't factor.
3x = 2y + 3 3x -3 = 2y +3 -3 3x - 3 = 2y (3x -3)/2 = 2y / 2 y = 1/2 x (3x - 3) 3x = 2y +3 3x - 3x = -3x +2y +3 0 = -3x +2y +3 -1 x (0) = -1 x (-3x +2y +3) 0 = 3x - 2y -3
3x = 2y + 3 3x -3 = 2y +3 -3 3x - 3 = 2y (3x -3)/2 = 2y / 2 y = 1/2 x (3x - 3) 3x = 2y +3 3x - 3x = -3x +2y +3 0 = -3x +2y +3 -1 x (0) = -1 x (-3x +2y +3) 0 = 3x - 2y -3
We need to get both equations into slope-intercept form. If they are parallel, they will have the same slope. If they are perpendicular, they will have slopes that when multiplied equal -1. (unless one line is horizontal and the other vertical) 3x+2y=5 2y=5-3x y=(-3/2)x+(5/2) 3x+2y=9 2y=9-3x y=(-3/2)x+(9/2) The two lines are parallel, since both slopes are equal to (-3/2).
(3x-2y)2=
(3x-2y)2=
4x-2y+3x+2y When simplified: 7x
-3x + 2y = 12-3x + 3x + 2y = 3x + 122y = 3x + 122y/2 = 3x/2 + 12/2y = (3/2)x + 6
-3x + 2y = -4There are lots of different ways to write it.Here are a few:-3x = -2y - 43x = 2y + 42y = 3x - 4-2y = -3x + 4x = 2y/3 + 4/3y = 3x/2 - 2