x-2y=10
8x+4y=20 4y=-8x+20 y=-2x+5 f(x)=-2x+5
2x-4y=-8-2x......-2x-4y=-2x-8(-4y)/-4 | (-2x-8)/-4y=1/2x+2
the system of equations 3x-6y=20 and 2x-4y =3 is?Well its inconsistent.
10x - 3y + 2x - 4y =(10x + 2x) + (-3y - 4y) =12x - 7y
2x - 4y = 8 2x = 4y + 8 x = 2y + 4
2x-4y=4 -4y=-2x+4 y=1/2x-1 Slope is 1/2 (.5)
now think that:-x=10y=5when you are asked to slove an equation say.....2x+4y=?.then we change the value of x and y into digits so we can work the problem out.now since x=10.then 2x is= 10*2which is 20.y=5then 4y is=5*4which is 20now we have the value of 2X and 4Yso lets use it to get the answer2x+4y=?2x=202y=20so now since we know the values of 2x 4y lets us write their values in the equation insteadso now it is 20+20=?the answer is 40the changing of the algebric structure 2x into 20 in the equation is called substitution
2x+4y = -8 4y = -2x-8 y = -1/2x-2 or y = -0.5x-2
2x + 4y = 16 <=> 2x + 4y - 16 = 0 2x - 4y = 0 2x - 4y = 2x + 4y - 16 -8y = -16 y = 2 Substituting the known value for y in either of the original equations enables x to be determined. 2x + (4*2) = 16 : 2x = 16 - 8 : x2x = 8 : x = 4 2x - (4*2) = 0 : 2x - 8 = 0 : 2x = 8 : x = 4. The ordered pair satisfying both equations is (4,2)
-2x +4y = 8 4y = 2x +8 y = 1/2x +2 Therefore: the y intercept is 2 and the slope is 1/2
(8xy- 12yz) = 4y(2x - 3z) This is the
Combine like terms: -2x - 4y + 5x - 7y = 3x - 11y -2x + 5x = 3x -4y + -7y = -11y