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How do you solve for equations x-y-z equals 1 2x plus y-z equals 1 x-y plus 2z equals 7?
(1) x - y - z = 1
(2) 2x + y - z = 1
(3) x - y + 2z = 7
With linear equations involving three unknowns use different pairs of equations to eliminate the same unknown. This will result in two (or perhaps three if needed) equations containing two unknowns.
For this exercise, eliminate z as the first step.
Subtract equation (1) from equation (2)
2x + y - z - (x - y - z) = 1 - 1 : (4) x + 2y = 0
Multiply equation (2) by 2 then add to equation (3)
4x + 2y - 2z + x - y + 2z = 2 + 7 : (5) 5x + y = 9
Multiply equation (5) by 2 then subtract equation (4)
10x + 2y - (x + 2y) = 18 - 0 : 9x = 18 : x = 2
Substituting for x in equation (5) gives 10 + y = 9 : y = -1
Substituting for x and y in equation (2) gives 4 -1 -z = 1 : z = 2
What else can I help you with?
Solve xyz for the variable y?
solve x=yz for the variable y
If x equals 2 and y equals 3 and z equals 6 then what is the value of w if w equals xyz?
If x = 2 and y = 3 and z = 6 then the value of w if w = xyz is 36. (2 times 3 times 6)
What side of XYZ is the longest?
In order to know what side of XYZ is the longest one needs more information. You need to know some of the measurements in order to solve this.
What is xy cubed z squared plus y squared z plus xyz completely factorised?
The only common factor to all terms is yz. → xy³z² + y²z + xyz = yz(xy²z + y + x)
What is the vertex of xyz?
It all depends on what xyz is. If xyz is an arc of a curve, there will be no vertex whereas if xyz is a triangle, each of x, y and z will be a vertex.
How do you solve xyz equals 5 plus z?
You cannot solve one equation in three unknowns. You need three independent equations.
Find the solutions of x² plus y² plus z² equals xyz?
1, that works, right?
XZY plus XYZ equals YZX. Then what are the numbers?
x=4,y=9,z=5
Solve xyz for the variable y?
solve x=yz for the variable y
What is the answer to xyz plus xzy plus yzx plus zyx?
4x4y4z
If x equals y equals 2z and xyz equals 256 then what is the value of x?
8
What does xyz equals if x1.2 y3 and z04?
If you know the values, just multiply them. "xyz" refers to the product of x, y, and z.
If x equals 2 and y equals 3 and z equals 6 then what is the value of w if w equals xyz?
If x = 2 and y = 3 and z = 6 then the value of w if w = xyz is 36. (2 times 3 times 6)
What is 678 plus y times x times z plus 1 times 12 divided by 12 multiplied by 360?
678 + xyz + 360 = xyz + 1038
What side of XYZ is the longest?
In order to know what side of XYZ is the longest one needs more information. You need to know some of the measurements in order to solve this.
Xyz equals t what is x?
xyz = t Divide both sides of the equation by "yz" to find the value of x: x = t/yz
Which postulate or theorem can be used to prove that XYZ equals LYZ?
AAS (apex)
