Given that y= 2x-z/X+3z, express X in terms of y and z
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To express X in terms of y and z in the equation y = (2x - z)/(X + 3z), we can follow these steps:
Step 1: Multiply both sides of the equation by (X + 3z) to eliminate the denominator.
y(X + 3z) = 2x - z
Step 2: Expand the left side of the equation by distributing y to both terms inside the parentheses.
yX + 3yz = 2x - z
Step 3: Move the terms containing x to one side of the equation and the terms not containing x to the other side.
2x - yX = 3yz + z
Step 4: Factor out x on the left side of the equation.
x(2 - y) = 3yz + z
Step 5: Divide both sides of the equation by (2 - y) to isolate x.
x = (3yz + z)/(2 - y)
Therefore, X can be expressed in terms of y and z as:
X = (3yz + z)/(2 - y)
To express X in terms of y and z in the equation y = (2x - z) / (X + 3z), we can follow these steps:
1. Multiply both sides of the equation by (X + 3z) to eliminate the denominator:
y(X + 3z) = 2x - z
2. Expand the left side of the equation:
Xy + 3yz = 2x - z
3. Move the terms with X to one side of the equation:
Xy = 2x - z - 3yz
4. Divide both sides of the equation by y to isolate X:
X = (2x - z - 3yz) / y
Therefore, X can be expressed in terms of y and z as:
X = (2x - z - 3yz) / y