( 2xy - 4x ) + ( 8y - 16)2 ( xy - 2x ) + 2 ( 4y - 8 ) Answer
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)
6-2x-8+3+12x+4y 10x+4y+1 Note that - -3 = +3 and that - -4y = +4y
x = 2 so x squared = 4 and 2x squared = 2 times 4 = 8; y = 4 so xy = 2 times 4 = 8 and 3xy = 3 times 8 = 24; y squared = 4 times 4 = 16 and 4y squared = 4 times 16 = 64; so 8 + 24 - 64 = 32 - 64 = -32
Write the equation of the line that passes through the point (0, 8) and is parallel to the line with equation 8x + 4y = 5.SolutionTwo lines are parallel if they have the same slope.First, we write the slope-intercept form for the given line:8x + 4y = 5 subtract 8x to both sides;4y = -8x + 5 divide by 4 to both sides;y = -2x + 5/4So, the slope of the two lines is -2.By using the point (0, 8), we can write the point-slope form of the required line:(y - y1) = m(x - x1)(y - 8) = -2(x - 0)y - 8 = -2x add 8 to both sides;y = -2x + 8 add 2x to both sides;y + 2x = 8 or2x + y = 8This is the general form of the line that passes through the point (0, 8) and is parallel to the line 8x + 4y = 5
xy-2x+4y-8 x(y-2)+4(y-2) (x+4)(y-2)
xy plus 2x plus 4y plus 8 or (xy+2x) + (4y+8) or x(y+2) + 4(y+2) or (x+4)(y+2)
(x + 4)(y - 2)
(x + 4)(y - 2)
(x + 4)(y - 2)
(y-2) (x+4)
( 2xy - 4x ) + ( 8y - 16)2 ( xy - 2x ) + 2 ( 4y - 8 ) Answer
2x-4y=-8-2x......-2x-4y=-2x-8(-4y)/-4 | (-2x-8)/-4y=1/2x+2
2x - 4y = 8 2x = 4y + 8 x = 2y + 4
2x+4y = -8 4y = -2x-8 y = -1/2x-2 or y = -0.5x-2
-2x +4y = 8 4y = 2x +8 y = 1/2x +2 Therefore: the y intercept is 2 and the slope is 1/2
2x-4y = 8 2x = 4y + 8 2x - 8 = 4y 2x/4 - 8/4 = y (1/2)x - 2 = y So, y = (1/2)x - 2, where 1/2 is the slope and -2 is the y-intercept :)