Math Problem Statement

g=c-x+y for x

Solution

To solve the equation g=cx+yg = c - x + y for xx, follow these steps:

  1. Start with the equation: g=cx+yg = c - x + y

  2. Isolate xx on one side by first subtracting c+yc + y from both sides: gcy=xg - c - y = -x

  3. Multiply both sides by 1-1 to solve for xx: x=c+ygx = c + y - g

Thus, the solution for xx is: x=c+ygx = c + y - g

Would you like further details or have any questions?

Here are 5 related questions to expand on this:

  1. How would you solve the equation g=c2x+yg = c - 2x + y for xx?
  2. Can you explain how the order of operations affects solving equations?
  3. What happens if one of the variables is a function of another?
  4. How does solving for xx differ when it's in multiple terms?
  5. Can you graph the equation g=cx+yg = c - x + y and interpret the graph?

Tip: Always check your solution by substituting the value of xx back into the original equation!

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Equations
Variable Isolation

Formulas

g = c - x + y
x = c + y - g

Theorems

-

Suitable Grade Level

Grades 6-8