-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
To solve the equation (3z - 39 = 0), first, isolate the term with (z) by adding 39 to both sides, resulting in (3z = 39). Then, divide both sides by 3 to solve for (z), giving (z = 13). Thus, the solution is (z = 13).
A like term for 8z is any term that contains the variable z raised to the same power. For example, 3z or -5z are like terms because they both include the variable z. Like terms can be combined in expressions through addition or subtraction.
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
-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
wrong quesion
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
Expand: 8z-4-5z Collect like terms: 3z-4
-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).