36y to the second power
Since the second one is a multiple of the first, it is automatically the LCM.
The GCF is 4y.
(3x^2 - 4y^2)(3x^2 + 4y^2)
Assume the first equation is E1: -x+4y=20 Assume the second equation is E2: -7x+4y = -4 Since both equation include 4y, we could eliminate y first. So E1 - E2: -x+4y - (-7x+4y) = 20 - (-4) -> -x+4y+7x-4y = 24 -> 6x = 24 -> x = 4 Thus substitute x = 4 to either E1 and E2, and I will just substitute it into E1: -x + 4y = 20 -> -4 + 4y = 20 -> 4y = 24 -> y = 6 Therefore, x = 4 and y = 6
4
For the GCF, choose the lowest of each exponent. For the LCM, choose the highest. Example: x^2y^3z^4 and x^4y^5z The GCF is x^2y^3z The LCM is x^4y^5z^4
4y2
4y + 10 = 22 4y - 10 - 10 4y=12 4y 4y 4y=3
4y + 8y = 12y 4y - 8y = -4y 4y x 8y = 32y2 4y/8y = 1/2
Add -x -6y. Just like with numbers, subtract the first from the second to find what to add to the first to get the second; keeping like terms together: (10x - 4y) - (11x + 2y) = (10x - 11x) + (-4y - 2y) = (10 - 11)x + (-4 - 2)y = -x - 6y
2x + 6y = 93x - 12y = 15Chose the second equation because you can simplify it.3x - 12y = 15 divide by 3 to both sidesx - 4y = 5 add 4y to both sidesx = 4y + 5Replace 4y + 5 for x to the first equation.2x + 6y = 92(4y + 5) + 6y = 98y + 10 + 6y = 914y = -1y = -1/14x = 4y + 5x = 4(-1/14) + 5x = -2/7 + 5x = -2/7 + 35/7x = 33/7
if you rearrange it, it becomes 4y + 8 = 3x2 -2x +1 4y = 3x2 -2x -7 y= (3x2 -2x -7)/4 which is a parabola