-8z + 5z = -3z
Mid-point: (3z+z)/2, (2z+8z)/2 = (2z, 5z) Slope: (8z-2z)/(3z-z) = 6z/2z = 3 Perpendicular slope: -1/3 Equation: y -5z = -1/3(x -2z) => y = -1/3x+2z/3+5z => y = -1/3x+17z/3 General form of the bisector equation: x+3y-17z = 0
Collect all the letters on one side and the numbers on the other; what you do to one side of the equals you do to the other: 3z + 2 = 6z - 13 → 3z +2 - 3z = 6z - 13 - 3z → 2 = 3z - 13 → 2 + 13 = 3z - 13 + 13 → 15 = 3z → 3z = 15 (this is just changing the equals around so that the letter is on the left) → 3z ÷ 3 = 15 ÷ 5 → z = 5
If: 3z = 0.45 Then: z = 0.15 by dividing both sides by 3
Can you help with this equation? Thanks. Solve for x and y and z for the following. x plus y plus z equals 9 x plus 2y plus 3z equals 23 x plus 5y plus -3z equals -7
-8z + 5z = -3z
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8x + 5z - 4x + 3z + 6 = 8x - 4x + 5z + 3z - 6 = 4x + 8z - 6
Mid-point: (3z+z)/2, (2z+8z)/2 = (2z, 5z) Slope: (8z-2z)/(3z-z) = 6z/2z = 3 Perpendicular slope: -1/3 Equation: y -5z = -1/3(x -2z) => y = -1/3x+2z/3+5z => y = -1/3x+17z/3 General form of the bisector equation: x+3y-17z = 0
Add together like terms: 8z-3y
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Collect all the letters on one side and the numbers on the other; what you do to one side of the equals you do to the other: 3z + 2 = 6z - 13 → 3z +2 - 3z = 6z - 13 - 3z → 2 = 3z - 13 → 2 + 13 = 3z - 13 + 13 → 15 = 3z → 3z = 15 (this is just changing the equals around so that the letter is on the left) → 3z ÷ 3 = 15 ÷ 5 → z = 5
2z+6z+24=0 8z+24=0 8z= -24 z= - 3
If: 3z = 0.45 Then: z = 0.15 by dividing both sides by 3
By including its plus or minus signs
-4x + 3y + 3z = -209-6x - y - 8z = -209-9x + 4y - 7z = -418Make a simple equation from elimination.-4x + 3y + 3z = -6x- y - 8z2x + 4y + 11z = 0-4x + 3y + 3z = -2094x + 8y + 22z = 011y + 25z = -209Make another simple equation.-36x - 6y - 48z = -1254-36x + 16y - 28z = -1672-22y - 20z = 418Solve for "z" with the 2 simple equations and then subsitute in simple equations for the solution of "y".22y + 50z = -418-22y - 20z = 41830z = 0z = 011y + 25(0) = -209y = -19Subsitute "y" and "z" and solve for "x".-6x + 19 = -209-6x = -228x = 38(38, -19, 0).
Expand: 8z-4-5z Collect like terms: 3z-4