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7. x + 2y = 4

Question

  1. x + 2y = 4

Explanation:

Step1: Solve for x

To solve for \( x \) in the equation \( x + 2y = 4 \), we subtract \( 2y \) from both sides of the equation.
\( x + 2y - 2y = 4 - 2y \)
Simplifying the left side, we get \( x = 4 - 2y \).

Step2: Solve for y

To solve for \( y \) in the equation \( x + 2y = 4 \), we first subtract \( x \) from both sides:
\( x + 2y - x = 4 - x \)
Simplifying the left side gives \( 2y = 4 - x \). Then we divide both sides by 2:
\( y = \frac{4 - x}{2} = 2 - \frac{x}{2} \)

Answer:

  • Solved for \( x \): \( x = 4 - 2y \)
  • Solved for \( y \): \( y = 2 - \frac{x}{2} \) (or \( y = \frac{4 - x}{2} \))