6x-3y=30
4x=2-y
There are many ways to find the values of x and y.
elimination
substitution
matrices
on and on...
Here's one.
Set them both equal to y
y=2x-10
y=2-4x
So the right sides are both equal to y, therefore, they are equal to each other.
2x-10 = 2-4x
6x=12
x=2
plug 2 in for x on one of the equations
y=2-4x
y=2-4(2)
y=-6
Chat with our AI personalities
4x+3y = 6 3y = -4x+6 y = -4/3x+2 in slope intercept form
5x+3y
3y - 4x = 24 The first step is to write it in the standard form (y=mx + c) 3y = 4x + 24 y = (4x + 24)/3 y = 4x/3 + 8 The y-intercept is 8 and the slope/gradient is 4/3
To find the extreme value of the parabola y = x2 - 4x + 3 ...(1) Take the derivative of the equation.y = x2 - 4x + 3y' = 2x - 4(2) Set the derivative = 0 and solve for x.y' = 2x - 40 = 2x - 42x = 4x = 4/2x = 2(3) Plug this x value back into the original equation to find the associated y coordinate.x = 2y = x2 - 4x + 3y = (2)2 - 4(2) + 3y = 4 - 8 + 3y = -1So the vertex is at (2, -1).
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)