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What is the point of intersection of 3x -y -z equals 0 and x plus 3y -17z equals 0?
Wiki User
∙ 13y ago
Rearrange the equations in the form of:
x+3y = 17z
3*(3x-y = z)
Multply the second equation by 3:
x+3y = 17z
9x-3y = 3z
Add them together to eliminate y:
10x = 20z
Divide both sides by 10:
x = 2z
Substitute the value of x into the original equations to find the value of y:
Therefore the point of intersection is: (2z, 5z)
Wiki User
∙ 13y ago
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How do you factor 5z2-17z plus 6?
5z2 - 17z + 6 (5z - 2) (z - 3) is your answer
What is 17z plus 34 equals 6z plus 5?
17z + 34 = 6z + 5 17z - 6z + 34 = 6z - 6z + 5 11z + 34 = 5 11z + 34 - 34 = 5 - 34 11z = -29 11z/11 = -29/11 z = -2 7/11 or -29/11 Double check your answer: 17z + 34 = 6z + 5 17(-2 7/11) + 34 = 6z + 5 -44 9/11 + 34 = 6z + 5 -10 9/11 = 6z + 5 -10 9/11 = 6(-2 7/11) + 5 -10 9/11 = -15 9/11 + 5 -10 9/11 = -10 9/11 17z + 34 = 6z + 5 when Z = -2 7/11
What do you times by 17 to make 425?
Z x 17 = 425Z = 425/17Z = 2525 x 17 = 425
What is the general form of the perpendicular bisector equation of the line segment of z 2z and 3z 8z?
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
How do you factor 5z2-17z plus 6?
5z2 - 17z + 6 (5z - 2) (z - 3) is your answer
What is the answer to 15zsquared plus 17z minus18?
(5z + 9)(3z - 2)
What is 17z plus 34 equals 6z plus 5?
17z + 34 = 6z + 5 17z - 6z + 34 = 6z - 6z + 5 11z + 34 = 5 11z + 34 - 34 = 5 - 34 11z = -29 11z/11 = -29/11 z = -2 7/11 or -29/11 Double check your answer: 17z + 34 = 6z + 5 17(-2 7/11) + 34 = 6z + 5 -44 9/11 + 34 = 6z + 5 -10 9/11 = 6z + 5 -10 9/11 = 6(-2 7/11) + 5 -10 9/11 = -15 9/11 + 5 -10 9/11 = -10 9/11 17z + 34 = 6z + 5 when Z = -2 7/11
What do you times by 17 to make 425?
Z x 17 = 425Z = 425/17Z = 2525 x 17 = 425
What is the general form of the perpendicular bisector equation of the line segment of z 2z and 3z 8z?
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
