Put it into slope intercept form and then proceed to use your favorite method of graphing.
slope-intercept:
y = -3x + 1
This simplifies to 3x-6+4y.
3x - 4y = 10-3x - 4y = 8 -> add line 1 to line 2 3x - 4y = 100x - 8y = 18 -> -8y = 18 -> y = -18/8 = -9/4 -> 3x - 4*(-9/4) = 10 -> 3x + 9 = 10 -> 3x = 1 -> x = 1/3
The system of equations 3x - 6y = 20 and 2x - 4y = 3 is inconsistent. This is because the second equation can be derived from the first by multiplying by a factor, but the constants on the right side do not match, indicating that the lines represented by these equations are parallel and do not intersect. Therefore, there is no solution to the system.
(2, -1)
It is:- 3x+4y = 8 4y = -3x+8 y = -0.75x+2 So the slope is -0.75 and the y intercept is 2
plot 4y then 3x
3x=4y-x 4x=4y x=y
This simplifies to 3x-6+4y.
3x - 4y = 10-3x - 4y = 8 -> add line 1 to line 2 3x - 4y = 100x - 8y = 18 -> -8y = 18 -> y = -18/8 = -9/4 -> 3x - 4*(-9/4) = 10 -> 3x + 9 = 10 -> 3x = 1 -> x = 1/3
This is a difference of two squares, which factorises to: (3x - 4y)(3x + 4y)
3x - 4y = 8Solve for x:3x = 4y + 8x = 4/3y + 8/3Solve for y:-4y = -3x + 8y = 3/4x - 2
(3x^2 - 4y^2)(3x^2 + 4y^2)
3x-4y = 9 -4y = -3x+9 y = 3/4x-9/4 The equation parallel to this can be y = 3/4x+9/4 because the slope or gradient is the same but the y intercept is different.
7(3y-2)-(-4y+9)
4y = 3x+11 or as y = 3/4x+11/4
-6 + 3x - y - 4x + 4y + 5 (combine like terms) = (-6 + 5) + (3x - 4x) + (-y + 4y) = -1 - x + 3yHope this helps :)
(2, -1)