-2x + 2y = 4 is equivalent to twice -2 + y = 2 which is the equation of a straight line.
2y = 4x + 4y = 2x + 2
4x+2y-8=0 2y=8-4x y=4-2x slope= -2
-3x + 2y = 8To get into slope intercept, we must set the equation equal to y2y = 3x + 8y = 3/2x + 8/2y = 3/2x + 4
x - 2y = -4 2x - y = 1 To solve this system of equations, I used matrices, and got x = 2 and y = 3.
2x + 2y = 14 eqn 12x - y = 5 eqn 2Solve for X and Y.Simplify eqn 2 to solve for y2x - y = 5subtract sx from both sides-y = 5 - 2xmultiple both sides by -1y = 2x - 5substitute 2x - 5 into eqn 1 for y2x + 2y = 142x + 2(2x -5) = 142x + 4x - 10 = 146x - 10 = 14add 10 to both sides6x = 24divide both sides by 10x= 4Substitute x = 4 into eqn 2y = 2(4) - 5y = 8 - 5y = 3X = 4 and y = 3
parallel
2y = 4x + 4y = 2x + 2
k
(4, -1)
(-2, 4)
If: 12 = 2y+x then y = -1/2x+6 So: y = 2x+4 and y = -1/2x+6 which means that they are perpendicular lines
x = 2y = 4
4x + 2y = -8 → 2y = -4x - 8 → y = -2x - 4
-2X + 2Y = 4 2Y = 2X + 4 Y = X +2 by inspection, 2 but, you could also 0 out X in original equation -2(0) + 2Y = 4 2Y = 4 Y = 2
They are straight lines.
1 solution
2x-y=4