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

Fill in the missing value:

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

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

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

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

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

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

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

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