x =6 y = 8 10x = 60 8y = 64 10x + 8y = 124
x + 13x + 10x = 50 - 6
6-x+12 = 10x+7 6+12-7 = 10x+x 11 = 11x x = 1
(2, 1)
13y+3z+8
x =6 y = 8 10x = 60 8y = 64 10x + 8y = 124
x + 13x + 10x = 50 - 6
9x + 8y = (9 x 6) + (8 x 3) = 54 + 24 = 78
If x=6 and y=8, then [ 5x + 8y ] = 5(6) + 8(8) = 30 + 64 = 94
6-x+12 = 10x+7 6+12-7 = 10x+x 11 = 11x x = 1
(2, 1)
13y+3z+8
X equals 6
-6x-6 -or- -6(x+1)
y=-10x-4
10y + 8y = 18y = 15 y = 15/18 y = 5/6 = 0.833333.....
The standard equation of a circle with center C(h,k) and radius r is as follows:(x - h)2 + (y - k)2 = r2(x2 -2hx +h2) + (y2 - 2ky + k2)We have...x2 + y2 - 10x + 8y + 5 =0x2 - 10x + y2 + 8y + 5 =0add h2 and k2 to both sides(x2 - 10x + h2) + (y2 + 8y + k2) = -5 + h2 + k2Using the above framework we can see that 10 = 2h, h = 5Using the above framework we can see that 8 = 2k, k = 4So the formula is(x2 - 10x + 25) + (y2 + 8y + 16) = -5 + 25 + 16(x - 5)2 + (y - 4)2 = 36the center of the circle is C(5,4) and radius 6