Find the Missing Coefficient: Solving ?(2x+y)=6x+3y

Question

Fill in the missing value:

?(2x+y)=6x+3y ?(2x+y)=6x+3y

Video Solution

Step-by-Step Solution

To solve this problem, we need to equate the expression ?(2x+y) ?(2x+y) to 6x+3y 6x+3y and solve for the missing factor.

Step 1: Analyze the expression 6x+3y 6x + 3y .

  • Notice that both terms, 6x 6x and 3y 3y , have a common factor of 3.

Thus, we can factor the expression as 3(2x+y) 3(2x + y) .

Step 2: Equate the factored form 3(2x+y) 3(2x + y) with the original form ?(2x+y) ?(2x + y) .

  • If ?(2x+y)=3(2x+y) ?(2x + y) = 3(2x + y) , then the missing factor ? ? must be 3.

Therefore, the missing number that satisfies the equation ?(2x+y)=6x+3y ?(2x+y)=6x+3y is 3 3 .

Answer

3 3