7 + 4z = 437 + 4z -7 = 43 - 7 4z = 43 - 7 4z = 36 z = 9
I used the matrix method to find the answer: x=4, y=-7, z=-5.
4z-11=45 4z=56 z=14
10x + 2y + 8z - 5x + 4z - 4y = 10x - 5x + 2y - 4y + 8z + 4z = (10 - 5)x + (2 - 4)y + (8 + 4)z = 5x - 2y + 12z
-6z + 2 = 3z + 4z + 28 Add 6z to both sides: 2 = 3z + 4z + 28 + 6z = 28 + 13z Subtract 28 from both sides: - 26 = 13z Divide both sides by 13: -2 = z
6z-4z-z = 6-7-4 z = -5
Add 4z to each side: 19 = -z so z = -19
7 + 4z = 437 + 4z -7 = 43 - 7 4z = 43 - 7 4z = 36 z = 9
(z=-3) and (z=7)
If the question is x + 4z - 5 - 3x when x = 2 and z = 3x, then First simplify the original statement x + 4z - 5 - 3x = 4z - 5 - 2x Secondly substitute in 3x for z 4z - 5 - 2x = 4*3x - 5 - 2x = 12x - 5 - 2x = 10x - 5 Lastly substitute 2 for the x 10x - 5 = 10*2 - 5 = 20 - 5 = 15 or x + 4z - 5 - 3x when x = 2 and z = 3x, so z = 3*2 = 6 x + 4z - 5 - 3x = 4z - 5 - 2x (replace the variables with the corresponding values) = 4*6 - 5 - 2*2 = 24 - 5 - 4 = 24 - 9 = 15
3y + 4z + 12y = 3y -3y -3y ------------------------- 4z + 12y = 0 divide everything by 4 z + 3y = 0 -3y -3y z = -3y
I used the matrix method to find the answer: x=4, y=-7, z=-5.
That depends entirely on what the value of z is.
4z-11=45 4z=56 z=14
10x + 2y + 8z - 5x + 4z - 4y = 10x - 5x + 2y - 4y + 8z + 4z = (10 - 5)x + (2 - 4)y + (8 + 4)z = 5x - 2y + 12z
5x-2y+3z-2x-y-4z=3x-3y-z
-6z + 2 = 3z + 4z + 28 Add 6z to both sides: 2 = 3z + 4z + 28 + 6z = 28 + 13z Subtract 28 from both sides: - 26 = 13z Divide both sides by 13: -2 = z