4y+2 = 2y+6 4y-2y = 6-2 2y = 4 y = 2
9x + 2 = 12x + 14 -3x = 12 x = -4
3x3 - x2y + 12x - 4y = x2*(3x - y) + 4*(3x - y) = (x2 + 4)*(3x - y)
6x = 32 - 4y and 4y - 8 = 6x so 32 - 4y = 4y - 8 ie 40 = 8y so y = 5 and x = 2
Yes the equation is parallel and this is why.... when you put the formula 9x+3y=12 in a slope intercept form you'll get 9x+3y=12 9x+3y-12=0 3y= -9x+12 divide by 3 y=-3x+4 12x+4y=18 12x+4y-18=0 4y= -12x+18 divide by 4 y= -3x + 9/2 In order for two equations to be parallel the slope must be equal to each other remember the slop is the m in y=mx+b. Since both equations have -3 as it's slope that makes them parallel lines.
2(6x + 4y + 8) I think if its not sorry
y = 3x 3x + 4y = 30 3x + 4(3x) = 30 3x + 12x = 30 15x = 30 x = 2 y = 3x y = 3(2) y = 6 (2, 6)
If x - 4y = 2 and x + 4y = 2 then the only solution is when y = 0 and thus x = 2.
4y+2 = 2y+6 4y-2y = 6-2 2y = 4 y = 2
9x + 2 = 12x + 14 -3x = 12 x = -4
3x3 - x2y + 12x - 4y = x2*(3x - y) + 4*(3x - y) = (x2 + 4)*(3x - y)
10+12x=-14 -14-10=12x 12x=-24 x=-2
6x = 32 - 4y and 4y - 8 = 6x so 32 - 4y = 4y - 8 ie 40 = 8y so y = 5 and x = 2
Yes the equation is parallel and this is why.... when you put the formula 9x+3y=12 in a slope intercept form you'll get 9x+3y=12 9x+3y-12=0 3y= -9x+12 divide by 3 y=-3x+4 12x+4y=18 12x+4y-18=0 4y= -12x+18 divide by 4 y= -3x + 9/2 In order for two equations to be parallel the slope must be equal to each other remember the slop is the m in y=mx+b. Since both equations have -3 as it's slope that makes them parallel lines.
y=2
(2, -1)
x2+12x+5 = 3 x2+12x+5-3 = 0 x2+12x+2 = 0