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4. Jose is doing his Algebra homework and comes to a problem that
asks him to solve the equation 5x = 2x. He is unsure whether to divide
both sides by 2x or subtract 2x from each side. Will both methods
lead him to a correct solution or is one method correct and the other
incorrect? Explain your reasoning.

Respuesta :

mhanifa

Answer:

  • x = 0
  • Subtraction method

Step-by-step explanation:

Given equation

  • 5x = 2x

Solving for x

  • 5x - 2x = 2x - 2x
  • 3x = 0
  • 3x/3 = 0/3
  • x = 0

Let's see what the division method gives

  • 5x = 2x
  • 5x/2x = 2x/2x
  • 2.5 = 1, which is impossible

No solution. This method proves to be incorrect.

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