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2x−4y=442x - 4y = 44

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Full solution

Q. 2x−4y=442x - 4y = 44
  1. Understand the equation: Understand the equation.\newlineThe equation given is 2x−4y=442x - 4y = 44. This is a linear equation in two variables, xx and yy.
  2. Attempt to solve: Attempt to solve for one variable.\newlineTo solve for one variable, we would typically isolate one variable on one side of the equation. However, since we have two variables and only one equation, we cannot find a unique solution for xx and yy. Instead, we can express one variable in terms of the other.
  3. Solve for y: Solve for y in terms of x.\newlineTo solve for y, we can add 4y4y to both sides and then subtract 4444 from both sides to get:\newline2x=4y+442x = 4y + 44\newlineNow, divide both sides by 44 to isolate yy:\newliney=(2x−44)/4y = (2x - 44) / 4\newliney=(1/2)x−11y = (1/2)x - 11
  4. Check for errors: Check the equation for any mathematical errors.\newlineWe started with 2x−4y=442x - 4y = 44, added 4y4y to both sides to get 2x=4y+442x = 4y + 44, then divided both sides by 44 to get y=(12)x−11y = (\frac{1}{2})x - 11. There are no mathematical errors in these steps.

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