Question

In the equation 6+3y=4y+2 the variable y represents the same value. Is y=2,3,4 or 5 the solution of this equation? Explain.

Answer 1

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Answer:

  y = 4 is the solution

Step-by-step explanation:

We can find the solution using the properties of equality.

  6 + 3y = 4y + 2 . . . . . given

  4 + 3y = 4y . . . . . . . . subtract 2 from both sides

  4 = y . . . . . . . . . . . . . subtract 3y from both sides

The solution of this equation is y=4.

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When the solution value of y is put in place of y in the equation, it becomes a true numerical statement.

  6 + 3×4 = 4×4 +2

Evaluating the expressions on each side of the equal sign, we get ...

  18 = 18 . . . . a true statement