-99 = 12z - 3(6)zSimplifying the expression, we have:-99 = 12z - 18z = -6zDivide by -6:z = 16.5Or, if you meant 3 6 as the number, we have:-99 = 12z - 36zSimplify:-99 = -24zDivide by -24:z = 4.125
x=3y y=4z x=12z x+y+z=z+4z+12z=153 now you have the answer
If you mean: 2x-5y+2z = 16 and 3x+2y-3z = -19 and 4x-3y+4z = 18 then the solutions are found as follows:- 3(2x-5y+2z = 16) => 6x-15y+6z = 48 2(3x+2y-3z = -19) => 6x+4y-6z = -38 Adding the above: 12x-11y = 10 thus eliminating z 4(3x+2y-3z = -19) => 12x+8y-12z = -76 3(4x-3y+4z = 18) => 12x-9y+12z = 54 Adding the above: 24x-y = -22 thus eliminating z 2(12x-11y = 10) => 24x-22y = 20 1(24x-y = -22) => 24x-y = -22 Subtracting the above: -21y = 42 thus eliminating x If: -21y = 42 then y = -2 So by substitution: x = -1, y = -2 and z = 4 Check: (2*-1)-(5*-2)+(2*4) = 16 Check: (3*-1)+(2*-2)-(3*4) = -19 Check: (4*-1)-(3*-2)+(4*4) = 18
Numbers are divisible by 6 if they are even and also divisible by 3. examples are 6,12,18,24,30,36,60,54,...... examples as algebric expressions 18xy+12z+6y-a,where a is divisible by 6 i.e 6,12,18...
6z + 28 = 12z + 10 18 = 6z 3 = z
-3z+17+12z = 11 9z = -6 z = -2/3
6z+28=12z+10 6z-12z=10-28 addition property of equality. -6z=-18 simplification z=3 multiplication property of equality.
There are three variables in the equation. In order to find numbers for all of them,you need three separate independent equations.As it is now, the graph of that equation is a line in 3-dimensional space, andevery point on the line is a 'solution' to the equation. We don't have to tell youhow many points there are on a line, do we ?
12z-5 = -41 12z = -41+5 12z = -36 z = -3
(z - 6)(z - 6)
-3
24z+4 or 6(4z+1)
divide each side by 12; Z=9
-99 = 12z - 3(6)zSimplifying the expression, we have:-99 = 12z - 18z = -6zDivide by -6:z = 16.5Or, if you meant 3 6 as the number, we have:-99 = 12z - 36zSimplify:-99 = -24zDivide by -24:z = 4.125
It is a quadratic expression and is (2z+3)(6z-1) when factored
10x + 2y + 8z - 5x + 4z - 4y = 10x - 5x + 2y - 4y + 8z + 4z = (10 - 5)x + (2 - 4)y + (8 + 4)z = 5x - 2y + 12z