1. Four x = five y = six Z 2, 2x + 3y-4z + 3 = 0 to solve the equation

1. Four x = five y = six Z 2, 2x + 3y-4z + 3 = 0 to solve the equation


From X / 4 = Y / 5 = Z / 6, x = 2 / 3 * Z (1)
y=5/6 *z (2)
Substituting X and Y into the equation 2x + 3y-4z + 3 = 0,
The solution is Z = 18
Substituting z = 18 into (1) (2) yields x = 12
y=15



The solution equation is Y-1 / 3y-2-1-y / y + 1 = 2


(3y-2)/(y-1)+(y+1)/(y-1)=2
(4y-1)=2y-2
2y=-1
y=-1/2
Test: y = - 1 / 2 is the solution of the equation



3 / 5 (3y-1) = 2 / 3y-2


9/5y-3/5=2/3y-2 y=-21/17