Math Problem Statement

Z = 2x -y solve for x

Solution

To solve for xx in the equation Z=2xyZ = 2x - y, follow these steps:

  1. Start with the equation: Z=2xyZ = 2x - y

  2. Add yy to both sides to move the yy to the left-hand side: Z+y=2xZ + y = 2x

  3. Divide both sides by 2 to isolate xx: x=Z+y2x = \frac{Z + y}{2}

Thus, the solution for xx is: x=Z+y2x = \frac{Z + y}{2}

Would you like further details or have any other questions?

Here are 5 related questions:

  1. How do you solve for yy in the equation Z=2xyZ = 2x - y?
  2. What happens when Z=0Z = 0 in the equation Z=2xyZ = 2x - y?
  3. How would you express yy in terms of xx and ZZ?
  4. Can you substitute values for ZZ and yy to find xx?
  5. What is the graphical interpretation of the equation Z=2xyZ = 2x - y?

Tip: Always check your final equation by plugging values back into the original equation to verify the solution!

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Equations

Formulas

Z = 2x - y
x = (Z + y) / 2

Theorems

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Suitable Grade Level

Grades 6-8